Bitangents to a quartic surface and infinitesimal deformations

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.

18 pages

References in corpus (3)

• Quartic surface, its bitangents and rational points
• On Massey products and Rational homogeneous varieties
• Infinitesimal Torelli Theorem for regular surfaces with very ample canonical divisor

Cited by in corpus (2)

• Quartic surface, its bitangents and rational points
• On Massey products and Rational homogeneous varieties