On the Hopf Problem and a Conjecture of Liu-Maxim-Wang
arXiv:2310.03129
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.
Some changes following referee's report. Final version to appear in Expo. Math., 12 pages, no figures