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arXiv · 1909.00435

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

Matthew Stover·Giancarlo Urzúa
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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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Matthew Stover, Giancarlo Urzúa. 2019-09-01. Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line. https://arxiv.org/abs/1909.00435

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