{"title":"Some refinements of the Deligne–Illusie theorem","authors":"Piotr Achinger, Junecue Suh","doi":"10.2140/ant.2023.17.465","DOIUrl":"https://doi.org/10.2140/ant.2023.17.465","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136092221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We compute the relative orbifold Gromov–Witten invariants of [C/Zn+1]× P , with respect to vertical fibers. Via a vanishing property of the Hurwitz–Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixton’s formula for the double ramification cycle, and the orbifold quantum Riemann–Roch. As a result parallel to its crepant resolution counterpart for An, the GW/DT/Hilb/Sym correspondence is established for [C/Zn+1]. The computation also implies the crepant resolution conjecture for relative orbifold Gromov–Witten theory of [C/Zn+1]× P .
{"title":"Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1","authors":"Zijun Zhou, Zhengyu Zong","doi":"10.2140/ant.2022.16.1","DOIUrl":"https://doi.org/10.2140/ant.2022.16.1","url":null,"abstract":"We compute the relative orbifold Gromov–Witten invariants of [C/Zn+1]× P , with respect to vertical fibers. Via a vanishing property of the Hurwitz–Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixton’s formula for the double ramification cycle, and the orbifold quantum Riemann–Roch. As a result parallel to its crepant resolution counterpart for An, the GW/DT/Hilb/Sym correspondence is established for [C/Zn+1]. The computation also implies the crepant resolution conjecture for relative orbifold Gromov–Witten theory of [C/Zn+1]× P .","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41894097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We fill a gap in the literature by computing the Chow ring of the classifying space of the unitary group of a hermitian form on a finite dimensional vector space over a separable quadratic field extension.
{"title":"The Chow ring of the classifying space of the unitary group","authors":"N. Karpenko, A. Merkurjev","doi":"10.2140/ant.2022.16.139","DOIUrl":"https://doi.org/10.2140/ant.2022.16.139","url":null,"abstract":"We fill a gap in the literature by computing the Chow ring of the classifying space of the unitary group of a hermitian form on a finite dimensional vector space over a separable quadratic field extension.","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49386322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-08DOI: 10.1515/9783110761115-003
M. Mekkaoui, Abdallah Derbal, Kamel Mazhouda
{"title":"Note on the value distribution of the derivative of the Dirichlet L-functions at its a-points","authors":"M. Mekkaoui, Abdallah Derbal, Kamel Mazhouda","doi":"10.1515/9783110761115-003","DOIUrl":"https://doi.org/10.1515/9783110761115-003","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74396979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-08DOI: 10.1515/9783110761115-002
E. Alkan
{"title":"Number of shifted primes as k-free integers","authors":"E. Alkan","doi":"10.1515/9783110761115-002","DOIUrl":"https://doi.org/10.1515/9783110761115-002","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81058727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-08DOI: 10.1515/9783110761115-fm
{"title":"Frontmatter","authors":"","doi":"10.1515/9783110761115-fm","DOIUrl":"https://doi.org/10.1515/9783110761115-fm","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83287679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-08DOI: 10.1515/9783110761115-004
R. Kačinskaitė, Kohji Matsumoto
{"title":"A survey of the theory of mixed joint universality for zeta-functions","authors":"R. Kačinskaitė, Kohji Matsumoto","doi":"10.1515/9783110761115-004","DOIUrl":"https://doi.org/10.1515/9783110761115-004","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88820118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-01DOI: 10.2140/ant.2021.15.1809
E. Giannelli
{"title":"McKay bijections for symmetric and alternating groups","authors":"E. Giannelli","doi":"10.2140/ant.2021.15.1809","DOIUrl":"https://doi.org/10.2140/ant.2021.15.1809","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43752825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Harmonic theta series and the Kodaira\u0000dimension of 𝒜6","authors":"Moritz Dittmann, R. Manni, Nils R. Scheithauer","doi":"10.2140/ANT.2021.15.271","DOIUrl":"https://doi.org/10.2140/ANT.2021.15.271","url":null,"abstract":"","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42240346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","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：