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.
BITANGENTS TO A QUARTIC SURFACE AND INFINITESIMAL TORELLI
Corvaja P.;Zucconi F.
2024-01-01
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.File in questo prodotto:
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