Galois representationsLarge sieveUsing a multi-dimensional large sieve inequality, we prove that, for almost all pairs (or indeed almost all k-tuples) of elliptic curves, the associated Galois representation on
Galois representationselliptic curvesFermat equationIn this paper we prove that for every integer [Formula: see text], there exists an explicit constant [Formula: see text] such that the following holds. Let [Formula: see text] be a number field of degree [Formula: see text], let [Formula:...
On Birch and Swinnerton-Dyer’s conjecture for elliptic curves with complex multiplication. I. Compositio Math., 37(2):209–232, 1978. Google Scholar E. Artin. Galois theory. Dover Publications Inc., Mineola, NY, second edition, 1998. Edited and with a supplemental chapter by Arthur N. ...
G. Frey. Links between stable elliptic curves and certain Diophantine equations.Ann. Univ. Sarav. Ser. Math., 1(1):iv+40, 1986. G. Frey. Elliptic curves and solutions ofA−B = C. InSéminaire de Théorie des Nombres, Paris 1985–86, volume 71 ofProgr. Math., pages 39–51....
页数:450 定价:$ 133.34 ISBN:9789814368643 豆瓣评分 评价人数不足 内容简介· ··· This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundam...
is an elliptic curve, the discriminant of g must be nonzero, and hence the MOD 2 REPRESENTATIONS OF ELLIPTIC CURVES 3 determinant of φ is nonzero so φ is an isomorphism. By Lemma 4, it follows that E[2] ∼ = E ′ [2] as G ...
Galois Representations 1 by Shaunak Deo 01:26:53 Galois Representations 2 by Shaunak Deo 01:32:10 Heegner Points 1 by Francesc Castella 01:21:26 Heegner Points 2 by Francesc Castella 01:31:41 Heegner Points 3 by Francesc Castella 01:27:55 Heegner Points 4 by Francesc Castella 01...
We study the simultaneous reductions at several supersingular primes of elliptic curves with complex multiplication. We show – under additional congruence assumptions on the CM order – that the reductions are surjective (and even become equidistributed) on the product of supersingular loci when the ...
Elliptic Curves,Modular Forms and Galois Representations 137 -- 6:18:10 App Topics in Iwasawa Theory 140 -- 6:07:52 App Galois Representations by Shaunak Deo 53 -- 4:39:37 App On the Gross—Stark conjecture by Mahesh Kakde 63 -- 40:40 App 8ECM EMS Prize Lecture_ Jack Thorne ...
Thorne, J.A.: Automorphy of some residually dihedral Galois representations. Math. Ann.364(1–2), 589–648 (2016) ArticleMathSciNetMATHGoogle Scholar Thorne, J.A.: Elliptic curves overQ∞are modular. J. Eur. Math. Soc. (JEMS)21(7), 1943–1948 (2019) ...