找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration; Alfonso Zamora Saiz,Ronald A. Zúñiga-Rojas Bo

[复制链接]
查看: 31344|回复: 38
发表于 2025-3-21 18:11:25 | 显示全部楼层 |阅读模式
书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration
编辑Alfonso Zamora Saiz,Ronald A. Zúñiga-Rojas
视频video
概述Introduces key topics on Geometric Invariant Theory through examples and applications.Covers Hilbert classification of binary forms and Hitchin‘s theory on Higgs bundles.Takes particular note of unsta
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration;  Alfonso Zamora Saiz,Ronald A. Zúñiga-Rojas Bo
描述This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered..Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles..Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading,  whose key prerequisites are general courses on algebraic geo
出版日期Book 2021
关键词algebraic geometry; geometric invariant theory; GIT; Harder-Narasimham filtration; vector bundles; Higgs
版次1
doihttps://doi.org/10.1007/978-3-030-67829-6
isbn_softcover978-3-030-67828-9
isbn_ebook978-3-030-67829-6Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2021
The information of publication is updating

书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration影响因子(影响力)




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration影响因子(影响力)学科排名




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration网络公开度




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration网络公开度学科排名




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration被引频次




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration被引频次学科排名




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration年度引用




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration年度引用学科排名




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration读者反馈




书目名称Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration读者反馈学科排名




单选投票, 共有 1 人参与投票
 

1票 100.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 20:35:37 | 显示全部楼层
Book 2021an filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles..Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading,  whose key prerequisites are general courses on algebraic geo
发表于 2025-3-22 02:37:12 | 显示全部楼层
发表于 2025-3-22 08:03:43 | 显示全部楼层
发表于 2025-3-22 08:42:33 | 显示全部楼层
Drugs for Neurological Disorders,nclude a brief summary of sheaves, cohomology, and schemes, because those are the objects with which to develop this theory in full generality. Finally, essentials about holomorphic vector bundles, line bundles, and divisors are discussed.
发表于 2025-3-22 14:49:14 | 显示全部楼层
发表于 2025-3-22 20:48:43 | 显示全部楼层
发表于 2025-3-22 22:28:51 | 显示全部楼层
Stratifications on the Moduli Space of Higgs Bundles, rank. We thus analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles, based on results contained in [., .,.,.]. This relation allows some applications, as the computation of homotopy groups of the moduli space.
发表于 2025-3-23 02:10:23 | 显示全部楼层
发表于 2025-3-23 07:05:46 | 显示全部楼层
Unstability Correspondence, explained, say holomorphic pairs, Higgs bundles, and rank 2 tensors. Moreover, a similar correspondence is performed in a different setting, the moduli space of quiver representations on vector spaces which generalizes to an infinite-dimensional setting in the moduli problem of constellations yielding an asymptotic correspondence.
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-22 13:08
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表