The geometric distribution of Selmer groups of elliptic curves over function fields
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Publication:6047242
DOI10.1007/s00208-022-02429-1arXiv2003.07517OpenAlexW4296598249WikidataQ114231107 ScholiaQ114231107MaRDI QIDQ6047242
Tony Feng, Aaron Landesman, Eric M. Rains
Publication date: 7 September 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07517
Cites Work
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- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
- On the distribution of the number of fixed vectors for the finite classical groups
- Geometric non-vanishing
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
- Erzeugung ganzzahliger orthogonaler Gruppen durch Spiegelungen
- Quelques applications du théorème de densité de Chebotarev
- Shtukas and the Taylor expansion of \(L\)-functions. II
- The geometric average size of Selmer groups over function fields
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
- A heuristic for boundedness of ranks of elliptic curves
- Average size of 2-Selmer groups of elliptic curves over function fields
- Big symplectic or orthogonal monodromy modulo \(\ell\)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- On the spinor norm
- Twisted L-Functions and Monodromy. (AM-150)
- The Splitting of Reductions of an Abelian Variety
- On the geometry of principal homogeneous spaces
- Random maximal isotropic subspaces and Selmer groups
- Lectures on K3 Surfaces
- The large sieve, monodromy and zeta functions of curves
- The Arithmetic of Elliptic Curves
- The Finite Simple Groups
- Néron Models
- ON THE RANK OF QUADRATIC TWISTS OF ELLIPTIC CURVES OVER FUNCTION FIELDS
- Moments, Monodromy, and Perversity. (AM-159)