Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Grassmannian BGG complexes and Hodge numbers of irregular varieties

Grassmannian BGG complexes and Hodge numbers of irregular varieties 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Grassmannian BGG complexes and Hodge numbers of irregular varieties

Loading next page...
 
/lp/wiley/grassmannian-bgg-complexes-and-hodge-numbers-of-irregular-varieties-qaPVg3pCG0

References (18)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdv051
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Oct 1, 2015

There are no references for this article.