Any smooth plane quartic can be reconstructed from its bitangents

DOI10.1007/BF02773542zbMath1076.14037arXivmath/0111017OpenAlexW3105033236MaRDI QIDQ1781948

David Lehavi

Publication date: 9 June 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111017

zbMATH Keywords

symplectic structure2-transitive groups

Mathematics Subject Classification ID

Plane and space curves (14H50) Projective techniques in algebraic geometry (14N05) Theta functions and curves; Schottky problem (14H42)

Related Items (12)

Recovering plane curves of low degree from their inflection lines and inflection points ⋮ Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes ⋮ Plane quartics with at least 8 hyperinflection points ⋮ Compactifying moduli of hyperelliptic curves ⋮ Plane quartics: the universal matrix of bitangents ⋮ On the Torelli problem and Jacobian Nullwerte in genus three ⋮ Elementary transformations of Pfaffian representations of plane curves ⋮ Resolvent degree, Hilbert's 13th problem and geometry ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Computing isogenies between Jacobians of curves of genus 2 and 3 ⋮ Reconstructing general plane quartics from their inflection lines ⋮ Gram spectrahedra of ternary quartics

Cites Work

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• Galois groups of enumerative problems
• Classical Algebraic Geometry
• The fibers of the Prym map
• Characterizing curves by their odd theta-characteristics
• Recovering plane curves from their bitangents
• Gradients of odd theta functions
• Theta characteristics of an algebraic curve

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