A rigid, not infinitesimally rigid surface with K ample

2020/10/27 by Böhning, Christian, von Bothmer, Hans-Christian Graf, Pignatelli, Roberto
#14B12 #14E20 #14J10 #14J29 #14L30 #32G05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.14371

Abstract

We produce an example of a rigid, but not infinitesimally rigid smooth compact complex surface with ample canonical bundle using results about arrangements of lines inspired by work of Hirzebruch, Kapovich and Millson, Manetti and Vakil.

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