Hard Lefschetz Theorem for Nonrational Polytopes
代数几何
2007-05-23 v4 组合数学
摘要
The Hard Lefschetz theorem is known to hold for the intersection cohomology of the toric variety associated to a rational convex polytope. One can construct the intersection cohomology combinatorially from the polytope, hence it is well defined even for nonrational polytopes when there is no variety associated to it. We prove the Hard Lefschetz theorem for the intersection cohomology of a general polytope.
引用
@article{arxiv.math/0112087,
title = {Hard Lefschetz Theorem for Nonrational Polytopes},
author = {Kalle Karu},
journal= {arXiv preprint arXiv:math/0112087},
year = {2007}
}
备注
25 pages, a few errors corrected