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arXiv · 1910.01365

Bitangents to a quartic surface and infinitesimal deformations

Pietro Corvaja·Francesco Zucconi
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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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Pietro Corvaja, Francesco Zucconi. 2019-10-03. Bitangents to a quartic surface and infinitesimal deformations. https://arxiv.org/abs/1910.01365

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