Grassmannian BGG complexes and Hodge numbers of irregular varieties

被引：0
|
作者：
Gonzalez-Alonso, Victor [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Algebra Geometrie, D-30167 Hannover, Germany
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2015年 / 47卷
关键词：
D O I：
10.1112/blms/bdv051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the exactness of the Grassmannian Bernstein-Gel'fand- Gel'fand complexes introduced in a previous work of the author, and obtain some inequalities between some Hodge numbers of some irregular varieties. In particular, we obtain sharp lower bounds for the Hodge numbers of smooth subvarieties of Abelian varieties, as well as some improvements of results of Lazarsfeld-Popa and Lombardi concerning threefolds and fourfolds.
引用
收藏
页码：743 / 758
页数：16
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