Characterising Ball Quotients through their (higher) Chern Numbers
Niklas M\"uller
TL;DR
This paper characterizes ball quotients among minimal smooth projective varieties of general type using their characteristic numbers, extending previous work by Miyaoka, Yau, and Greb et al.
Contribution
It provides a new characterization of ball quotients based solely on higher Chern numbers, generalizing earlier characterizations.
Findings
Characterization of ball quotients via higher Chern numbers
Extension of previous characterizations by Miyaoka, Yau, and Greb et al.
Purely numerical criteria for identifying ball quotients
Abstract
In this short note we provide a characterisation of ball quotients among all minimal smooth projective varieties of general type purely in terms of their characteristic numbers. This generalises earlier work of Miyaoka, Yau and Greb--Kebekus--Peternell--Taji.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Commutative Algebra and Its Applications