Galois cohomology of elliptic curves

From MaRDI portal
Publication:5915425

zbMath0973.11059MaRDI QIDQ5915425

John H. Coates, R. Sujatha

Publication date: 8 October 2000

Published in: Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research (Search for Journal in Brave)




Related Items

Euler characteristics and their congruences for multisigned Selmer groupsFinite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions.On pairs of \(p\)-adic \(L\)-functions for weight-two modular formsAsymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towersThe \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplicationIwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formulaOn order of vanishing of characteristic elementsAlgebraic functional equation for Hida familyAnalogue of Kida's formula for certain strongly admissible extensionsEuler characteristic and Akashi series for Selmer groups over global function fieldsA remark on the 𝔐H(G)-conjecture and Akashi seriesArithmetic statistics for the fine Selmer group in Iwasawa theoryIwasawa theory for elliptic curves at supersingular primes: a pair of Main ConjecturesRANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONSSome remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplicationSelmer Groups and AnticyclotomicZp-extensionsCotorsion of anti-cyclotomic Selmer groups on averageRational points on algebraic curves in infinite towers of number fieldsStructure of fine Selmer groups in abelian \(p\)-adic Lie extensionsUnnamed ItemGrowth of Selmer groups and fine Selmer groups in uniform pro-\(p\) extensionsIwasawa Theory, projective modules, and modular representationsRoot numbers, Selmer groups, and non-commutative Iwasawa theoryFine Selmer groups, Heegner points and anticyclotomic ℤp-extensionsFine Selmer groups of congruent Galois representationsStatistics for Iwasawa invariants of elliptic curvesTHE GROWTH OF THE SELMER GROUP OF AN ELLIPTIC CURVE WITH SPLIT MULTIPLICATIVE REDUCTIONAn analogue of Kida's formula for fine Selmer groups of elliptic curvesAn algebraic version of a theorem of KuriharaFine Selmer groups of elliptic curves over \(p\)-adic Lie extensionsON THE SELMER GROUP OF A CERTAIN -ADIC LIE EXTENSIONAlgorithms for the arithmetic of elliptic curves using Iwasawa theoryIwasawa theory of the fine Selmer groupComputations in non-commutative Iwasawa theoryEuler characteristics and their congruences in the positive rank settingOverview of Some Iwasawa TheoryOn completely faithful Selmer groups of elliptic curves and Hida deformationsThe Cassels-Tate pairing and the Platonic solids.Kolyvagin's work and anticyclotomic tower fields: the supersingular case