An inequality for the Delta-genus of toric varieties
Algebraic Geometry
2023-09-21 v2
Abstract
For a polarized toric variety (X,L) of dimension n less than 5, we give a lower bound of the Delta-genus by using the vanishing number of adjoint bundle of a multiple of L. We show that for a polarized toric variety of dimension n with non-vanishing adjoint bundle, the Delta-genus is more than or equal to n-1.
Cite
@article{arxiv.2309.01053,
title = {An inequality for the Delta-genus of toric varieties},
author = {Shoetsu Ogata and Riki Tabei},
journal= {arXiv preprint arXiv:2309.01053},
year = {2023}
}
Comments
14 pages. We improve the statement of Theorem 3