On the Hopf Problem and a Conjecture of Liu-Maxim-Wang
Algebraic Geometry
2024-01-17 v4 Differential Geometry
Geometric Topology
Abstract
We discuss an approach towards the Hopf problem for aspherical smooth projective varieties recently proposed by Liu, Maxim, and Wang in [LMW21]. In complex dimension two, we point out that this circle of ideas suggests an intriguing conjecture regarding the geography of aspherical surfaces of general type.
Keywords
Cite
@article{arxiv.2310.03129,
title = {On the Hopf Problem and a Conjecture of Liu-Maxim-Wang},
author = {Luca F. Di Cerbo and Rita Pardini},
journal= {arXiv preprint arXiv:2310.03129},
year = {2024}
}
Comments
Some changes following referee's report. Final version to appear in Expo. Math., 12 pages, no figures