Results 31 to 40 of about 87,537 (161)
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations [PDF]
, 2012 This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field over which the projectivisation
S. Arias-de-Reyna +2 more
semanticscholar +1 more source
Twistings, crossed coproducts and Hopf-Galois coextensions [PDF]
, 2002 Let $H$ be a Hopf algebra. Ju and Cai introduced the notion of twisting of an $H$-module coalgebra. In this note, we study the relationship between twistings, crossed coproducts and Hopf-Galois coextensions.
Caenepeel, S. +2 more
core +5 more sources
Inverse Galois problem for ordinary curves
International Journal of Number Theory, 2018 We consider the inverse Galois problem over function fields of positive characteristic [Formula: see text], for example, over the projective line. We describe a method to construct certain Galois covers of the projective line and other curves, which are ...
Raymond van Bommel
semanticscholar +1 more source
LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over $\mathbb{Q}$ .
Annette Bachmayr +3 more
semanticscholar +1 more source
The Galois group of a stable homotopy theory [PDF]
, 2016 To a "stable homotopy theory" (a presentable, symmetric monoidal stable $\infty$-category), we naturally associate a category of finite \'etale algebra objects and, using Grothendieck's categorical machine, a profinite group that we call the Galois group.
Mathew, Akhil
core +1 more source
Deformation quantization of principal bundles [PDF]
, 2016 We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles, and more in general to the deformation of Hopf-Galois extensions.
Aschieri, Paolo
core +2 more sources
Cyclic Homology and Quantum Orbits [PDF]
, 2015 A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyclic homology of a Galois coalgebra with SAYD coefficients is presented ...
Maszczyk, Tomasz, Sütlü, Serkan
core +1 more source
Branching Data for Algebraic Functions and Representability by Radicals [PDF]
, 2011 The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals.
Burda, Yuri, Khovanskii, Askold
core +1 more source
Reduced group schemes as iterative differential Galois groups
, 2019 This article is on the inverse Galois problem in Galois theory of linear iterative differential equations in positive characteristic. We show that it has an affirmative answer for reduced algebraic group schemes over any iterative differential field ...
Maurischat, Andreas
core +1 more source
On the failure of pseudo-nullity of Iwasawa modules
, 2004 We consider the family of CM-fields which are pro-p p-adic Lie extensions of number fields of dimension at least two, which contain the cyclotomic Z_p-extension, and which are ramified at only finitely many primes.
Romyar, T. Sharifi, Yoshitaka Hachimori
core +2 more sources