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 $20$.
Citation
Pietro Corvaja. Francesco Zucconi. "Bitangents to a quartic surface and infinitesimal Torelli." J. Differential Geom. 126 (3) 1097 - 1120, March 2024. https://doi.org/10.4310/jdg/1717348871
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