Lyubeznik numbers of irreducible projective varieties depend on the embedding
Algebraic Geometry
2020-01-14 v2 Commutative Algebra
Abstract
We construct irreducible complex projective varieties such that the Lyubeznik numbers of their affine cones depend on the choices of projective embeddings. The main ingredient is the recent work of Reichelt-Saito-Walther, where the Lyubeznik numbers are reinterpreted using perverse sheaves and reducible projective varieties with dependent Lyubeznik numbers are constructed.
Cite
@article{arxiv.1904.00449,
title = {Lyubeznik numbers of irreducible projective varieties depend on the embedding},
author = {Botong Wang},
journal= {arXiv preprint arXiv:1904.00449},
year = {2020}
}