Pub Date : 2023-12-13DOI: 10.2422/2036-2145.202306_012
Daniele Faenzi, Marcos Jardim, Jean Vallès
{"title":"Logarithmic sheaves of complete intersections (with an appendix by A. Muniz)","authors":"Daniele Faenzi, Marcos Jardim, Jean Vallès","doi":"10.2422/2036-2145.202306_012","DOIUrl":"https://doi.org/10.2422/2036-2145.202306_012","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"258 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139005884","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}
Pub Date : 2023-12-13DOI: 10.2422/2036-2145.202301_016
Stefan Buschenhenke, I. Ikromov, Detlef Müller
{"title":"Estimates for maximal functions associated to hypersurfaces in $mathbbm{R}^3$ with height h < 2: part II : A geometric conjecture and its proof for generic 2-surfaces","authors":"Stefan Buschenhenke, I. Ikromov, Detlef Müller","doi":"10.2422/2036-2145.202301_016","DOIUrl":"https://doi.org/10.2422/2036-2145.202301_016","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"118 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139003839","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}
Pub Date : 2023-09-29DOI: 10.2422/2036-2145.201302_002_2
Lukas Pottmeyer
. This note is to inform that Lemma 5.8 in [1] is incorrect. We give a counterexample, locate the error in the proof and discuss the consequences to Theorem 5.9 in [1]. All other results in [1] are not affected by this error.
{"title":"Erratum to “Heights of points with bounded ramification”","authors":"Lukas Pottmeyer","doi":"10.2422/2036-2145.201302_002_2","DOIUrl":"https://doi.org/10.2422/2036-2145.201302_002_2","url":null,"abstract":". This note is to inform that Lemma 5.8 in [1] is incorrect. We give a counterexample, locate the error in the proof and discuss the consequences to Theorem 5.9 in [1]. All other results in [1] are not affected by this error.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"100 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139334512","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}
Pub Date : 2023-07-30DOI: 10.2422/2036-2145.202209_005
Yong Liu, Xinan Ma, Juncheng Wei, Wangzhe Wu
We construct entire solutions of the magnetic Ginzburg-Landau equations in dimension 4 using Lyapunov-Schmidt reduction. The zero set of these solutions are close to the minimal submanifolds studied by Arezzo-Pacard[1]. We also show the existence of a saddle type solution to the equations, whose zero set consists of two vertical planes in R 4 . These two types of solutions are believed to be energy minimizers of the corresponding energy functional and lie in the same connect component of the moduli space of entire solutions.
{"title":"Entire solutions of the magnetic Ginzburg-Landau equation in R4","authors":"Yong Liu, Xinan Ma, Juncheng Wei, Wangzhe Wu","doi":"10.2422/2036-2145.202209_005","DOIUrl":"https://doi.org/10.2422/2036-2145.202209_005","url":null,"abstract":"We construct entire solutions of the magnetic Ginzburg-Landau equations in dimension 4 using Lyapunov-Schmidt reduction. The zero set of these solutions are close to the minimal submanifolds studied by Arezzo-Pacard[1]. We also show the existence of a saddle type solution to the equations, whose zero set consists of two vertical planes in R 4 . These two types of solutions are believed to be energy minimizers of the corresponding energy functional and lie in the same connect component of the moduli space of entire solutions.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"92 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81238585","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}
Pub Date : 2023-07-30DOI: 10.2422/2036-2145.202209_016
T. A. Bui, Thinh H. Duong
{"title":"Hardy spaces, Besov spaces and Triebel--Lizorkin spaces associated with a discrete Laplacian and applications","authors":"T. A. Bui, Thinh H. Duong","doi":"10.2422/2036-2145.202209_016","DOIUrl":"https://doi.org/10.2422/2036-2145.202209_016","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"126 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80451935","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}
Pub Date : 2023-07-27DOI: 10.2422/2036-2145.202309_021
F. Amoroso, Arnaud Plessis
An important result of Bilu deals with the equidistribution of the Galois orbits of a sequence $(alpha_n)_n$ in $overline{mathbb{Q}}^*$. Here, we prove a quantitative equidistribution theorem for a sequence of finite subsets in $overline{mathbb{Q}}^*$ which are not necessarily stable by Galois action. We follow a method of Mignotte.
{"title":"Equidistribution for sets which are not necessarily Galois stable: On a theorem of Mignotte","authors":"F. Amoroso, Arnaud Plessis","doi":"10.2422/2036-2145.202309_021","DOIUrl":"https://doi.org/10.2422/2036-2145.202309_021","url":null,"abstract":"An important result of Bilu deals with the equidistribution of the Galois orbits of a sequence $(alpha_n)_n$ in $overline{mathbb{Q}}^*$. Here, we prove a quantitative equidistribution theorem for a sequence of finite subsets in $overline{mathbb{Q}}^*$ which are not necessarily stable by Galois action. We follow a method of Mignotte.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139354163","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}
Pub Date : 2023-06-19DOI: 10.2422/2036-2145.202111_019
A. Bufetov
{"title":"A determinantal point process governed by in integrable kernel is Giambelli compatible","authors":"A. Bufetov","doi":"10.2422/2036-2145.202111_019","DOIUrl":"https://doi.org/10.2422/2036-2145.202111_019","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80774759","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}
Pub Date : 2023-06-19DOI: 10.2422/2036-2145.202206_009
S. Chan, Yuan Yuan
{"title":"On local holomorphic maps between Kähler manifolds preserving $(p,p)$-forms","authors":"S. Chan, Yuan Yuan","doi":"10.2422/2036-2145.202206_009","DOIUrl":"https://doi.org/10.2422/2036-2145.202206_009","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"4 2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72740244","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}
Pub Date : 2023-06-06DOI: 10.2422/2036-2145.202203_012
I. Biswas, G. Ravindra
We prove that on a general hypersurface in $mathbb{P}^N$ of degree $d$ and dimension at least $2$, if an arithmetically Cohen-Macaulay (ACM) bundle $E$ and its dual have small regularity, then any non-trivial Hodge class in $H^{n}(X, EotimesOmega^n_X)$, $n = lfloorfrac{N-1}{2}rfloor$, produces a trivial direct summand of $E$. As a consequence, we prove that there is no universal Ulrich bundle on the family of smooth hypersurfaces of degree $dgeq 3$ and dimension at least $4$. This last statement may be viewed as a Franchetta-type conjecture for Ulrich bundles on smooth hypersurfaces.
{"title":"Hodge rank of ACM bundles and Franchetta's conjecture","authors":"I. Biswas, G. Ravindra","doi":"10.2422/2036-2145.202203_012","DOIUrl":"https://doi.org/10.2422/2036-2145.202203_012","url":null,"abstract":"We prove that on a general hypersurface in $mathbb{P}^N$ of degree $d$ and dimension at least $2$, if an arithmetically Cohen-Macaulay (ACM) bundle $E$ and its dual have small regularity, then any non-trivial Hodge class in $H^{n}(X, EotimesOmega^n_X)$, $n = lfloorfrac{N-1}{2}rfloor$, produces a trivial direct summand of $E$. As a consequence, we prove that there is no universal Ulrich bundle on the family of smooth hypersurfaces of degree $dgeq 3$ and dimension at least $4$. This last statement may be viewed as a Franchetta-type conjecture for Ulrich bundles on smooth hypersurfaces.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87784840","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}
Pub Date : 2023-04-13DOI: 10.2422/2036-2145.202010_040
Tim Binz, A. ter Elst
{"title":"Dynamic boundary conditions for divergence form operators with Hölder coefficients","authors":"Tim Binz, A. ter Elst","doi":"10.2422/2036-2145.202010_040","DOIUrl":"https://doi.org/10.2422/2036-2145.202010_040","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81189660","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：