On the Birch-Swinnerton-Dyer quotients modulo squares
DOI10.4007/annals.2010.172.567zbMath1223.11079arXivmath/0610290OpenAlexW3102545176WikidataQ56269756 ScholiaQ56269756MaRDI QIDQ990183
Tim Dokchitser, Vladimir Dokchitser
Publication date: 6 September 2010
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610290
Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Global ground fields in algebraic geometry (14G25) Elliptic curves over local fields (11G07)
Related Items (52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The local root number of elliptic curves with wild ramification
- Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
- Regulator constants and the parity conjecture
- Mean values of derivatives of modular \(L\)-series
- General Selmer groups and critical values of Hecke \(L\)-functions
- Idempotent relations and the conjecture of Birch and Swinnerton-Dyer
- Completely faithful Selmer groups over Kummer extensions
- Generalizing the Birch-Stephens theorem. I: Modular curves
- The Cassels-Tate pairing on polarized Abelian varieties
- Parity of ranks for elliptic curves with a cyclic isogeny
- Finding large Selmer rank via an arithmetic theory of local constants
- The parity of the rank of the Mordell-Weil group
- Nonvanishing theorems for L-functions of modular forms and their derivatives
- Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
- The parity conjecture for elliptic curves at supersingular reduction primes
- Root numbers, Selmer groups, and non-commutative Iwasawa theory
- Self-duality of Selmer groups
- Arithmetic of Elliptic Curves Upon Quadratic Extension
- Correspondances de Shimura et quaternions
- Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
- Root numbers of non-abelian twists of elliptic curves
- On the Birch and Swinnerton-Dyer conjecture
- On the arithmetic of abelian varieties
This page was built for publication: On the Birch-Swinnerton-Dyer quotients modulo squares