On the signature of unimodular fans
Algebraic Geometry
2023-10-19 v3 Algebraic Topology
Combinatorics
Abstract
N.C.Leung and V.Reiner showed that certain convexity conditions on a complete rational simplicial fan determine the sign of the signature of the Poincar\'e pairing on the cohomology of the associated toric variety. The purpose of the present article is to give an "elementary" proof of their result.
Cite
@article{arxiv.2304.03252,
title = {On the signature of unimodular fans},
author = {Paul Bressler and Diego A. Robayo Bargans},
journal= {arXiv preprint arXiv:2304.03252},
year = {2023}
}
Comments
29 pages