English

Classifying $VII_0$ surfaces with $b_2 = 0$ via group theory

Algebraic Geometry 2019-05-21 v3

Abstract

We give a new proof of a theorem of Bogomolov, that the only VII0VII_0 surfaces with b2=0b_2 = 0 are those constructed by Hopf and Inoue. The proof follows the strategy of the original one, but it is of purely group-theoretic nature.

Cite

@article{arxiv.1709.00062,
  title  = {Classifying $VII_0$ surfaces with $b_2 = 0$ via group theory},
  author = {Federico Buonerba and Fedor Bogomolov and Nikon Kurnosov},
  journal= {arXiv preprint arXiv:1709.00062},
  year   = {2019}
}
R2 v1 2026-06-22T21:29:42.830Z