首页 > 最新文献

European Journal of Mathematics最新文献

英文 中文
The mirror Clemens-Schmid sequence. 克莱门斯-施密德镜像序列
IF 0.5 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2024-01-01 Epub Date: 2024-10-25 DOI: 10.1007/s40879-024-00779-5
Charles F Doran, Alan Thompson

We introduce a four-term long exact sequence that relates the cohomology of a smooth variety admitting a projective morphism onto a projective base to the cohomology of the open set obtained by removing the preimage of a general linear section. We show that this sequence respects the perverse Leray filtration and induces exact sequences of mixed Hodge structures on its graded pieces. We conjecture that this exact sequence should be thought of as mirror to the Clemens-Schmid sequence, which describes the cohomology of degenerations. We exhibit this mirror relationship explicitly for all Type II and many Type III degenerations of K3 surfaces. In three dimensions, we show that for Tyurin degenerations of Calabi-Yau threefolds our conjecture is a consequence of existing mirror conjectures, and we explicitly verify our conjecture for a more complicated degeneration of the quintic threefold.

我们引入了一个四期长精确序列，它将一个光滑变种的同调与一个一般线性部分的前像移除后得到的开集的同调联系起来。我们证明了这个序列尊重逆勒雷滤波，并在其梯度片上诱导出混合霍奇结构的精确序列。我们猜想，这个精确序列应该被视为描述退化同调的克莱门斯-施密德序列的镜像。我们为 K3 曲面的所有第二类退化和许多第三类退化明确展示了这种镜像关系。在三维空间中，我们证明了对于卡拉比-尤三折的Tyurin退化，我们的猜想是现有镜像猜想的结果。
{"title":"The mirror Clemens-Schmid sequence.","authors":"Charles F Doran, Alan Thompson","doi":"10.1007/s40879-024-00779-5","DOIUrl":"https://doi.org/10.1007/s40879-024-00779-5","url":null,"abstract":"<p><p>We introduce a four-term long exact sequence that relates the cohomology of a smooth variety admitting a projective morphism onto a projective base to the cohomology of the open set obtained by removing the preimage of a general linear section. We show that this sequence respects the perverse Leray filtration and induces exact sequences of mixed Hodge structures on its graded pieces. We conjecture that this exact sequence should be thought of as mirror to the Clemens-Schmid sequence, which describes the cohomology of degenerations. We exhibit this mirror relationship explicitly for all Type II and many Type III degenerations of K3 surfaces. In three dimensions, we show that for Tyurin degenerations of Calabi-Yau threefolds our conjecture is a consequence of existing mirror conjectures, and we explicitly verify our conjecture for a more complicated degeneration of the quintic threefold.</p>","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"10 4","pages":"63"},"PeriodicalIF":0.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11511770/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142510025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
More minimal non- σ -scattered linear orders. 更小的非σ -分散线性阶数。
IF 0.5 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2024-01-01 Epub Date: 2024-12-02 DOI: 10.1007/s40879-024-00780-y
Roy Shalev

In a recent paper, Cummings, Eisworth and Moore gave a novel construction of minimal non- σ -scattered linear orders of arbitrarily large successor size. It remained open whether it is possible to construct these orders at other cardinals. Here, it is proved that in Gödel's constructible universe, these orders exist at any regular uncountable cardinal κ that is not weakly compact. In fact, for any cardinal κ as above we obtain 2 κ many such orders which are pairwise non-embeddable. At the level of ℵ 1 , their work answered an old question of Baumgartner by constructing from ♢ a minimal Aronszajn line that is not Souslin. Our uniform construction is based on the Brodsky-Rinot proxy principle which at the level of ℵ 1 is strictly weaker than ♢ .

在最近的一篇论文中，Cummings， Eisworth和Moore给出了一个具有任意大后继大小的最小非σ -离散线性阶的新构造。是否有可能在其他枢机上构建这些命令仍然是开放的。这里证明了在Gödel的可构造宇宙中，这些阶存在于任何非弱紧的正则不可数基数κ上。事实上，对于上述的任意基数κ，我们得到了2个κ许多这样的顺序，它们是成对不可嵌入的。在λ 1的水平上，他们的工作回答了鲍姆加特纳的一个老问题，从θ处构造了一条非索斯林的极小Aronszajn线。我们的统一构造基于Brodsky-Rinot代理原则，该原则在1的水平上严格弱于招收。
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">More minimal non- <ns0:math><ns0:mi>σ</ns0:mi></ns0:math> -scattered linear orders.","authors":"Roy Shalev","doi":"10.1007/s40879-024-00780-y","DOIUrl":"10.1007/s40879-024-00780-y","url":null,"abstract":"<p><p>In a recent paper, Cummings, Eisworth and Moore gave a novel construction of minimal non- <math><mi>σ</mi></math> -scattered linear orders of arbitrarily large successor size. It remained open whether it is possible to construct these orders at other cardinals. Here, it is proved that in Gödel's constructible universe, these orders exist at any regular uncountable cardinal <math><mi>κ</mi></math> that is not weakly compact. In fact, for any cardinal <math><mi>κ</mi></math> as above we obtain <math><msup><mn>2</mn> <mi>κ</mi></msup> </math> many such orders which are pairwise non-embeddable. At the level of <math><msub><mi>ℵ</mi> <mn>1</mn></msub> </math> , their work answered an old question of Baumgartner by constructing from <math><mo>♢</mo></math> a minimal Aronszajn line that is not Souslin. Our uniform construction is based on the Brodsky-Rinot proxy principle which at the level of <math><msub><mi>ℵ</mi> <mn>1</mn></msub> </math> is strictly weaker than <math><mo>♢</mo></math> .</p>","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"10 4","pages":"74"},"PeriodicalIF":0.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11611987/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142781064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On simple-minded systems over domestic Brauer graph algebras 论国内布劳尔图象代数上的简明系统
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-12-16 DOI: 10.1007/s40879-023-00717-x
Zhen Zhang
{"title":"On simple-minded systems over domestic Brauer graph algebras","authors":"Zhen Zhang","doi":"10.1007/s40879-023-00717-x","DOIUrl":"https://doi.org/10.1007/s40879-023-00717-x","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"15 10","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138968089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Arithmetic and topology of classical structures associated with plane quartics 与平面四元数相关的经典结构的算术和拓扑学
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-12-01 DOI: 10.1007/s40879-023-00711-3
O. Bergvall
{"title":"Arithmetic and topology of classical structures associated with plane quartics","authors":"O. Bergvall","doi":"10.1007/s40879-023-00711-3","DOIUrl":"https://doi.org/10.1007/s40879-023-00711-3","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"285 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138989748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Equivariant algebraic K-functors for $$Gamma $$ Γ -rings $$Gamma $$ Γ环的等变代数 K 函数
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-30 DOI: 10.1007/s40879-023-00712-2
H. Inassaridze
{"title":"Equivariant algebraic K-functors for $$Gamma $$ Γ -rings","authors":"H. Inassaridze","doi":"10.1007/s40879-023-00712-2","DOIUrl":"https://doi.org/10.1007/s40879-023-00712-2","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"7 1","pages":"1-17"},"PeriodicalIF":0.6,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139198533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
If K is a Valdivia compact space, then $$C_{hspace{-1.111pt}p}(K)$$ C p 如果 K 是瓦尔迪维亚紧凑空间，那么 $$C_{hspace{-1.111pt}p}(K)$$ C p
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-29 DOI: 10.1007/s40879-023-00713-1
Joel Aguilar-Velázquez, Reynaldo Rojas-Hernández, Vladimir V. Tkachuk
{"title":"If K is a Valdivia compact space, then $$C_{hspace{-1.111pt}p}(K)$$ C p","authors":"Joel Aguilar-Velázquez, Reynaldo Rojas-Hernández, Vladimir V. Tkachuk","doi":"10.1007/s40879-023-00713-1","DOIUrl":"https://doi.org/10.1007/s40879-023-00713-1","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"13 1","pages":"1-13"},"PeriodicalIF":0.6,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139209422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relatively projective profinite groups 相对投影无穷群
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-20 DOI: 10.1007/s40879-023-00705-1
P. Zalesskii
{"title":"Relatively projective profinite groups","authors":"P. Zalesskii","doi":"10.1007/s40879-023-00705-1","DOIUrl":"https://doi.org/10.1007/s40879-023-00705-1","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"54 3","pages":"1-11"},"PeriodicalIF":0.6,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139254752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On effective $$epsilon $$ ϵ -integrality in orbits of rational maps over function fields and multiplicative dependence 论函数域上有理映射轨道中的有效 $$epsilon $$ ϵ -integrality 和乘法依赖性
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-20 DOI: 10.1007/s40879-023-00709-x
Jorge Mello
{"title":"On effective $$epsilon $$ ϵ -integrality in orbits of rational maps over function fields and multiplicative dependence","authors":"Jorge Mello","doi":"10.1007/s40879-023-00709-x","DOIUrl":"https://doi.org/10.1007/s40879-023-00709-x","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"121 1","pages":"1-21"},"PeriodicalIF":0.6,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139256796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Polishness of the inverse semigroup $$Gamma (X)$$ Γ ( X ) on a compact metric spa 论紧凑度量空间上反半群 $$Gamma (X)$$ Γ ( X ) 的波兰性
IF 0.6 Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-20 DOI: 10.1007/s40879-023-00671-8
Jerson Pérez, Carlos Uzc'ategui
{"title":"On the Polishness of the inverse semigroup $$Gamma (X)$$ Γ ( X ) on a compact metric spa","authors":"Jerson Pérez, Carlos Uzc'ategui","doi":"10.1007/s40879-023-00671-8","DOIUrl":"https://doi.org/10.1007/s40879-023-00671-8","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"165 1","pages":"1-15"},"PeriodicalIF":0.6,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139257080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two-weight boundedness for local fractional maximal and applications 局部分数极大值的二权有界性及其应用
Q3 MATHEMATICS
European Journal of Mathematics
Pub Date : 2023-11-14 DOI: 10.1007/s40879-023-00708-y
Mauricio Ramseyer, Oscar Salinas, Marisa Toschi
{"title":"Two-weight boundedness for local fractional maximal and applications","authors":"Mauricio Ramseyer, Oscar Salinas, Marisa Toschi","doi":"10.1007/s40879-023-00708-y","DOIUrl":"https://doi.org/10.1007/s40879-023-00708-y","url":null,"abstract":"","PeriodicalId":44725,"journal":{"name":"European Journal of Mathematics","volume":"32 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134901228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
类型
全部 化学•材料 生命科学 医学 物理 工程技术 环境•农林 材料科学 地球科学 法学 管理学 化学 环境科学与生态学 计算机科学 教育学 经济学 农林科学 人文科学 生物学 数学 物理与天体物理 心理学 综合性期刊 其他 工业工程 理学 历史学 农学 文学 信息工程
数据库
全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley
期刊
European Journal of Mathematics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
﹀
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们：info@booksci.cn
Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1