A positive proportion of cubic curves over Q admit linear determinantal representations
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Publication:4972517
zbMath1425.14027arXiv1512.05167MaRDI QIDQ4972517
Publication date: 25 November 2019
Full work available at URL: https://arxiv.org/abs/1512.05167
Plane and space curves (14H50) Picard schemes, higher Jacobians (14K30) Arithmetic ground fields for abelian varieties (14K15) Higher degree equations; Fermat's equation (11D41) Brauer groups of schemes (14F22)
Cites Work
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- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
- The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
- Henselian implies large
- On the classification of 3-dimensional non-associative division algebras over \(p\)-adic fields
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
- Complete description of determinantal representations of smooth irreducible curves
- Théoremes de Bertini et applications
- Embedding problems over large fields
- Relative Brauer groups of genus 1 curves
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
- \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities
- On the symmetric determinantal representations of the Fermat curves of prime degree
- Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits
- Curves $\mathcal{C}$ that are cyclic twists of $Y^{2}=X^{3}+c$ and the relative Brauer groups $Br(k(\mathcal{C})/k)$
- Classical Algebraic Geometry
- Orlov's equivalence and maximal Cohen-Macaulay modules over the cone of an elliptic curve
- Most binary forms come from a pencil of quadrics
- Random maximal isotropic subspaces and Selmer groups
- Algebraic Patching
- A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one
- Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve
- The invariants of a genus one curve
- The Arithmetic of Elliptic Curves
- Elliptic Curves with no Rational Points
- Néron Models
- A positive proportion of Thue equations fail the integral Hasse principle
- Explicit n-descent on elliptic curves, I. Algebra
- Jacobians of genus one curves.
- Determinantal hypersurfaces.
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