Parity of Betti numbers in intersection cohomology

来源 :Sino-French Conference on Arithmetic Geometry(中法算术几何会议) | 被引量 : 0次 | 上传用户：raul2008

【摘要】

：

　　Junecue Suh recently showed that the odd-degree Betti numbers of every proper smooth variety are even,answering an old question of Serre.In this talk,I will

【作者】

：

Zheng Weizhe

【机构】

：

MorningsideCenterofMathematics

【出处】

：

Sino-French Conference on Arithmetic Geometry(中法算术几何会议)

【发表日期】

：

2013年6期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　Junecue Suh recently showed that the odd-degree Betti numbers of every proper smooth variety are even,answering an old question of Serre.In this talk,I will present a different proof of Suhs result and discuss extensions to relative and singular settings.This is a joint work with Shenghao Sun.

其他文献

MULTISCALE DOMAIN DECOMPOSITION METHODS FOR ELLIPTIC PROBLEMS WITH HIGH-CONTRAST COEFFICIENTS

　　In this talk,I will give an overview of existing multiscale domain decomposition methods for elliptic problems with high-contrast coefficients,which can mak

会议

ERROR ESTIMATE TO RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD FOR LINEAR HYPERBOLIC EQUATION WITH DISC

　　In this talk we will present some a priori estimate to the Runge-Kutta discontinuous Galerkin(RKDG)method to linear hyperbolic problem with the compact supp

会议

80-400K温区高精度全自动绝热量热仪研制

　　绝热量热学是热化学研究领域重要分支学科，绝热量热的基本原理是通过精密温度测量和控制技术，来消除量热计与其环境之间的热交换而达到绝热目的。绝热量热是获取物质热容数

会议

绝热量热热容测定量热自动化α-Al2O380-400K

Goren-Oort Stratification of quaternionic Shimura varieties and applications

　　In this talk,I will first define the integral model of a quaternionic Shimura variety following the strategy of Deligne and Carayol.Then I will explain how

会议

The Shintanis formula for general partial zeta function

　　Shimura defined the general Hurwitz zeta function.We will describe the similar functions on the totally real number field.And the Shintani formula will help

会议

Compactifications and purity

　　After a concise introduction to weight structures(à la Bondarko),weillustrate how they can be employed in both Hodge theory and the theory of motives.In pa

会议

Some new constructions of Shafarevichs pairing

　　Let K be a local field with algebraically closed residue field,and A be an abelian variety.The Shafarevich pairing gives a perfect duality between H1(K,A),t

会议

Hodge index theorem for adelic line bundles

　　The Hodge index theorem of Faltings and Hriljac asserts that the Neron-Tate height pairing on a projective curve over a number field is equal to certain int

会议

Generalizations of Kloosterman sheaves

　　We will construct a large class of local systems on P1 minus two points,which are tame at one puncture and wild at the other.The monodromy of these local sy

会议

Subanalytic topologies and applications to filtered D-modules

会议

Parity of Betti numbers in intersection cohomology

其他学术论文