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arXiv · 1309.3416

Grassmannian BGG Complexes and Hodge numbers of irregular varieties

Víctor González-Alonso
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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.

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BibTeXRIS

Víctor González-Alonso. 2015-06-24. Grassmannian BGG Complexes and Hodge numbers of irregular varieties. https://doi.org/10.1112/blms%2Fbdv051

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