Grassmannian BGG Complexes and Hodge numbers of irregular varieties
arXiv:1309.3416 · doi:10.1112/blms/bdv051
Abstract
In this paper we investigate the exactness of the Grassmannian BGG complexes introduced in a previous work (arXiv:1211.2486), 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 and Popa and Lombardi concerning threefolds and fourfolds.
15 pages. Minor changes and improved exposition, thanks to comments of the referee. Accepted for publication in the Bulletin of the LMS