Results 21 to 30 of about 94 (75)
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p [PDF]
, 2018 peer reviewedThe main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over F_p^bar of parallel weight 1 and level prime to p is unramified above p.
Gabor Wiese +3 more
core +1 more source
SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
doaj +1 more source
TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Forum of Mathematics, Sigma, 2016 We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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Forum of Mathematics, Sigma, 2021 We establish the Bernstein-centre type of results for the category of mod p representations of $\operatorname {\mathrm {GL}}_2 (\mathbb {Q}_p)$ . We treat all the remaining open cases, which occur when p is $2$ or $3$ .
Vytautas Paškūnas, Shen-Ning Tung
doaj +1 more source
On a variation of the Erdős–Selfridge superelliptic curve
Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 633-638, August 2019., 2019 Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
wiley +1 more source
On elliptic curves with an isogeny of degree 7 [PDF]
, 2010 ON ELLIPTIC CURVES WITH AN ISOGENY OF DEGREE 7 arXiv:1007.4617v3 [math.NT] 16 Oct 2012 R. GREENBERG, K. RUBIN, A. SILVERBERG, AND M. STOLL Abstract. We show that if E is an elliptic curve over Q with a Q-rational isogeny of degree 7, then the image of ...
R. Greenberg +3 more
semanticscholar +1 more source
DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
Forum of Mathematics, Pi, 2019 We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
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Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image. [PDF]
, 2012 This article is the second part of a series of three articles a bout compatible systems of symplectic Galois representations and applications to the inv erse Galois problem.
S. Arias-de-Reyna +2 more
semanticscholar +1 more source
Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti
Documenta Mathematica, 2012 We prove that the Consani-Scholten quintic, a CalabiYau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms.
L. Dieulefait, Ariel Pacetti, M. Schütt
semanticscholar +1 more source
ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD
Forum of Mathematics, Sigma, 2013 Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex ...
BURT TOTARO
doaj +1 more source