Bitangents to a quartic surface and infinitesimal deformations

Published 3 Oct 2019 in math.AG | (1910.01365v2)

Abstract: We show that the Hilbert scheme which parameterises bitangent lines to a general quartic surface is a counterexample to the infinitesimal Torelli claim and is a smooth regular surface with no rational curves and very ample canonical divisor.

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