Most binary forms come from a pencil of quadrics

DOI10.1090/bproc/24zbMath1422.11064arXiv1601.03451OpenAlexW2964319398MaRDI QIDQ2968573

Brendan Creutz

Publication date: 20 March 2017

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03451

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (3)

A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ Unnamed Item ⋮ Generalized Jacobians and explicit descents

Cites Work

• Unnamed Item
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• The Cassels-Tate pairing on polarized Abelian varieties
• Weil-Châtelet divisible elements in Tate-Shafarevich groups. II: On a question of Cassels
• Two torsion in the Brauer group of a hyperelliptic curve
• Self cup products and the theta characteristic torsor
• First cohomology groups of some linear groups over fields of characteristic two
• Galois properties of points of finite order of elliptic curves
• GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
• The proportion of plane cubic curves over ℚ that everywhere locally have a point
• Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits
• Locally trivial torsors that are not Weil-Châtelet divisible
• Second $p$-descents on elliptic curves
• A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension
• Two-cover descent on hyperelliptic curves
• Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
• What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?
• Generalized Jacobians and explicit descents
• Explicit n-descent on elliptic curves, I. Algebra
• The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point
• Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt

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