Geometric Hodge structures with prescribed Hodge numbers
Algebraic Geometry
2014-12-05 v2 Number Theory
Abstract
Call a pure Hodge structure geometric if it is contained in the cohomology of a smooth complex projective variety. The main goal is to show that for any set of Hodge numbers (subject to the obvious constraints), there exists a geometric Hodge structure with precisely these Hodge numbers. This is related to recent work of Schreieder, but the construction here is simpler. This also contains some speculations about 2 dimensional geometric Hodge structures.
Cite
@article{arxiv.1406.2142,
title = {Geometric Hodge structures with prescribed Hodge numbers},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:1406.2142},
year = {2014}
}
Comments
revised and expanded, 7 pages