THE KUGA–SATAKE CONSTRUCTION UNDER DEGENERATION

Author:

Schreieder Stefan,Soldatenkov Andrey

Abstract

We extend the Kuga–Satake construction to the case of limit mixed Hodge structures of K3 type. We use this to study the geometry and Hodge theory of degenerations of Kuga–Satake abelian varieties associated with polarized variations of K3 type Hodge structures over the punctured disc.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference24 articles.

1. Degeneration of Hodge Structures

2. Jumps and monodromy of abelian varieties;Halle;Doc. Math.,2011

3. Kuga–Satake construction and cohomology of hyperkähler manifolds;Kurnosov;Adv. Math.

4. DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES

5. Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Influence of Internet Plus on Traditional Accounting Industry Under the Background of Information Technology;2021 International Conference on Big Data Analytics for Cyber-Physical System in Smart City;2022

2. Exploration of Accounting Information Construction Under the Background of Big Data;2021 International Conference on Big Data Analytics for Cyber-Physical System in Smart City;2021-12-10

3. Deformation Principle and André motives of Projective Hyperkähler Manifolds;International Mathematics Research Notices;2021-08-06

4. The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior);Mathematische Annalen;2021-07-26

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3