{"title":"关于$$\\textrm的伴随Bloch–Kato-Selmer群{GSp}_{2g}$$","authors":"Ju-Feng Wu","doi":"10.1007/s40316-022-00209-6","DOIUrl":null,"url":null,"abstract":"<div><p>We study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with <span>\\(\\textrm{GSp}_{2g}\\)</span>. Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 1","pages":"187 - 220"},"PeriodicalIF":0.5000,"publicationDate":"2022-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-022-00209-6.pdf","citationCount":"0","resultStr":"{\"title\":\"On adjoint Bloch–Kato Selmer groups for \\\\(\\\\textrm{GSp}_{2g}\\\\)\",\"authors\":\"Ju-Feng Wu\",\"doi\":\"10.1007/s40316-022-00209-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with <span>\\\\(\\\\textrm{GSp}_{2g}\\\\)</span>. Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.</p></div>\",\"PeriodicalId\":42753,\"journal\":{\"name\":\"Annales Mathematiques du Quebec\",\"volume\":\"48 1\",\"pages\":\"187 - 220\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40316-022-00209-6.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Mathematiques du Quebec\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40316-022-00209-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematiques du Quebec","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40316-022-00209-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们研究的是与\(\textrm{GSp}_{2g}\)相关的尖顶特征性中的经典点所附带的邻接布洛赫-卡托-塞尔默群。我们的策略是基于对特征差上的伽罗瓦表示族的研究,其灵感来自 J. Bellaiche 和 G. Chenevier 的著作。
On adjoint Bloch–Kato Selmer groups for \(\textrm{GSp}_{2g}\)
We study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with \(\textrm{GSp}_{2g}\). Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.
期刊介绍:
The goal of the Annales mathématiques du Québec (formerly: Annales des sciences mathématiques du Québec) is to be a high level journal publishing articles in all areas of pure mathematics, and sometimes in related fields such as applied mathematics, mathematical physics and computer science.
Papers written in French or English may be submitted to one of the editors, and each published paper will appear with a short abstract in both languages.
History:
The journal was founded in 1977 as „Annales des sciences mathématiques du Québec”, in 2013 it became a Springer journal under the name of “Annales mathématiques du Québec”. From 1977 to 2018, the editors-in-chief have respectively been S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea.
Les Annales mathématiques du Québec (anciennement, les Annales des sciences mathématiques du Québec) se veulent un journal de haut calibre publiant des travaux dans toutes les sphères des mathématiques pures, et parfois dans des domaines connexes tels les mathématiques appliquées, la physique mathématique et l''informatique.
On peut soumettre ses articles en français ou en anglais à l''éditeur de son choix, et les articles acceptés seront publiés avec un résumé court dans les deux langues.
Histoire:
La revue québécoise “Annales des sciences mathématiques du Québec” était fondée en 1977 et est devenue en 2013 une revue de Springer sous le nom Annales mathématiques du Québec. De 1977 à 2018, les éditeurs en chef ont respectivement été S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea.