Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line
Algebraic Geometry
2019-09-04 v1
Abstract
We prove the existence of rigid compact complex surfaces of general type whose Chern slopes are arbitrarily close to the Bogomolov--Miyaoka--Yau bound of . In addition, each of these surfaces has first Betti number equal to .
Keywords
Cite
@article{arxiv.1909.00435,
title = {Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line},
author = {Matthew Stover and Giancarlo Urzúa},
journal= {arXiv preprint arXiv:1909.00435},
year = {2019}
}