Results 21 to 30 of about 53,379 (231)

DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS

Forum of Mathematics, Sigma, 2019
Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
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Some fascinating developments in mathematics and music

Proceedings (European Academy of Sciences and Arts), 2022
The strength of the bonds between music and mathematics goes without saying. This popular belief hides a subtler misconception, that this relationship involves old-school mathematics: arithmetics in the Greek School (Pythagoras), diophantine ...
Emmanuel Amiot
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Curves with more than one inner Galois point

, 2020
Let $\mathcal{C}$ be an irreducible plane curve of $\text{PG}(2,\mathbb{K})$ where $\mathbb{K}$ is an algebraically closed field of characteristic $p\geq 0$.
Korchmáros, Gábor, Lia, Stefano, Timpanella, Marco   +2 more
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Dimensions of Prym varieties

International Journal of Mathematics and Mathematical Sciences, 2001
Given a tame Galois branched cover of curves π:X→Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula
Amy E. Ksir
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Seven Small Simple Groups Not Previously Known to Be Galois Over $\mathbb{Q}$

Mathematics, 2022
In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait, Enric Florit, Núria Vila   +2 more
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Efficiency of sequence synthesis methods with the «not more than one coincidence» property

Tekhnologiya i Konstruirovanie v Elektronnoi Apparature, 2016
The author presents an expression for determining the minimum possible length of binary sequences with "not more than one coincidence" property. Obtained low bound length value allows quantitatively estimating efficiency of any known synthesis methods ...
A. I. Nevrev, O. N. Galchenkov
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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, BAO V. LE HUNG, BRANDON LEVIN, STEFANO MORRA   +3 more
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Galois coverings of one-sided bimodule problems

Pracì Mìžnarodnogo Geometričnogo Centru, 2021
Applying geometric methods of 2-dimensional cell complex theory, we construct a Galois covering of a bimodule problem satisfying some structure, triangularity and finiteness conditions in order to describe the objects of finite representation type.
Vyacheslav Babych, Nataliya Golovashchuk
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Real difference Galois theory

, 2017
In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.Comment ...
Dreyfus, Thomas
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Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q

Transactions of the London Mathematical Society, 2019
Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels, Maarten Derickx, Jeffrey Hatley   +2 more
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