Recovering plane curves from their bitangents

DOI10.1090/S1056-3911-02-00307-7zbMath1080.14523arXivmath/0008239OpenAlexW2593268500MaRDI QIDQ4707534

Edoardo Sernesi, Lucia Caporaso

Publication date: 2003

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008239

Mathematics Subject Classification ID

Plane and space curves (14H50)

Related Items (19)

Non-hyperelliptic curves of genus three over finite fields of characteristic two ⋮ Limits of PGL(3)-translates of plane curves. I ⋮ Loci of curves with subcanonical points in low genus ⋮ Recovering plane curves of low degree from their inflection lines and inflection points ⋮ Vector-valued modular forms and the Gauss map ⋮ Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes ⋮ On a ring of modular forms related to the theta gradients map in genus \(2\) ⋮ Plane quartics with at least 8 hyperinflection points ⋮ Compactifying moduli of hyperelliptic curves ⋮ THE MODULI SPACE OF TWISTED CANONICAL DIVISORS ⋮ Plane quartics: the universal matrix of bitangents ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Any smooth plane quartic can be reconstructed from its bitangents ⋮ An enriched count of the bitangents to a smooth plane quartic curve ⋮ Reconstructing pluricanonical embeddings of general \(k\)-gonal curves via odd theta-characteristics ⋮ Computing isogenies between Jacobians of curves of genus 2 and 3 ⋮ Reconstructing general plane quartics from their inflection lines ⋮ Computing tropical bitangents to smooth quartic curves in polymake ⋮ Rank two vector bundle on \(\mathbb P^2\) coming from a double covering

Cites Work

• PLANE CURVES WITH SMALL LINEAR ORBITS II
• Theta-Characteristics on Algebraic Curves
• Dimension-Theoretic Characterization of Maximal Irreducible Algebraic Systems of Plane Nodal Curves of a Given Order n and with a Given Number d of Nodes
• Geometric Invariant Theory
• Linear orbits of arbitrary plane curves.
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