A Barth-Lefschetz theorem for toric varieties
Algebraic Geometry
2007-05-23 v2
Abstract
The theorem of Barth-Lefschetz is a statement about the cohomology of a submanifold X of some projective space, in a range depending on the codimension of the embedding. Here this is generalized to the case of a submanifold X of a smooth projective toric variety Y, under some natural conditions on X. In particular, in the Barth-Lefschetz range a formula for the Hodge numbers of X in terms of the toric, i.e. combinatorial data of Y is given.
Keywords
Cite
@article{arxiv.math/0112198,
title = {A Barth-Lefschetz theorem for toric varieties},
author = {Joerg Zintl},
journal= {arXiv preprint arXiv:math/0112198},
year = {2007}
}
Comments
One footnote and one reference added to the published version; 14 pages