The local-global property for bitangents of plane quartics

DOI10.14495/jsiaml.12.41zbMath1448.14023arXiv2002.10203OpenAlexW3043876881MaRDI QIDQ5121401

No author found.

Publication date: 14 September 2020

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10203

zbMATH Keywords

bitangentplane quarticlocal-global property

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Uses Software

• GAP
• Maxima
• SageMath

Cites Work

• Unnamed Item
• The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
• Galois groups of enumerative problems
• Construction of a del Pezzo surface with maximal Galois action on its Picard group
• On plane quartics with a Galois invariant Cayley octad
• The local-global principle for symmetric determinantal representations of smooth plane curves
• GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
• Classical Algebraic Geometry
• On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree
• The Hasse Principle for Lines on del Pezzo Surfaces
• Polynomials with roots in ℚ_{𝕡} for all 𝕡
• Plane quartics with a Galois-invariant Steiner hexad
• Theta characteristics of an algebraic curve