March 1, 2024

Bitangents to a quartic surface and infinitesimal Torelli

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Abstract

We prove that the Hilbert scheme which parametrises bitangent lines to a general quartic surface is a smooth regular surface with no rational curves and with very ample canonical divisor. We also prove that it is a counterexample to infinitesimal Torelli and that its infinitesimal deformation space has dimension 20.

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Cite This Study

Corvaja et al. (Fri,) studied this question.

synapsesocial.com/papers/68e76bccb6db6435876e1902 https://doi.org/https://doi.org/10.4310/jdg/1717348871

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