Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line

2019/09/01 by Matthew Stover, Giancarlo Urzúa, Stover, Matthew +1
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1909.00435

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 3. In addition, each of these surfaces has first Betti number equal to 4.

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