Hodge-theoretic variants of the Hopf and Singer Conjectures

Author:

Donu Arapura, Laurentiu Maxim, Botong Wang

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-10-20 16:00:00

Abstract

We propose several Hodge theoretic analogues of the conjectures of Hopf and Singer, and prove them in some special cases.