2-Selmer groups of even hyperelliptic curves over function fields
DOI10.1090/tran/8878zbMath1526.11032arXiv1811.10539OpenAlexW4312069755MaRDI QIDQ6112886
Publication date: 10 July 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10539
hyperelliptic curvefunction fieldcanonical reductionSelmer groupVinberg representationHitchin fibration.
Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) [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)]
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
- Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
- Involutions of reductive Lie algebras in positive characteristic
- Squarefree values of multivariable polynomials
- The geometric average size of Selmer groups over function fields
- Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields
- Squarefree values of polynomial discriminants. I
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
- On the average number of 2-Selmer elements of elliptic curves over \(\mathbb F_q(X)\) with two marked points
- On the arithmetic of simple singularities of type \(E\)
- Average size of 2-Selmer groups of elliptic curves over function fields
- Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
- Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits
- Néron Models
- Rational points on hyperelliptic curves having a marked non-Weierstrass point
- Harder–Narasimhan reduction of a principal bundle
- $2$-Selmer groups of hyperelliptic curves with marked points
- Arithmetic invariant theory
- Equality of Polynomial and Field Discriminants
- The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point
- AND THE ARITHMETIC OF A FAMILY OF NON-HYPERELLIPTIC CURVES OF GENUS 3
This page was built for publication: 2-Selmer groups of even hyperelliptic curves over function fields
