Vanishing cycles under base change and the integral Hodge conjecture
Algebraic Geometry
2019-01-23 v1
Abstract
In this paper we discuss an obstruction to the integral Hodge conjecture, which arises from certain behavior of vanishing cycles. This allows us to construct new counter-examples to the integral Hodge conjecture. One typical such counter-example is the product of a very general hypersurface of odd dimension and an Enriques surface. Our approach generalizes the degeneration argument of Benoist-Ottem.
Cite
@article{arxiv.1901.07091,
title = {Vanishing cycles under base change and the integral Hodge conjecture},
author = {Mingmin Shen},
journal= {arXiv preprint arXiv:1901.07091},
year = {2019}
}