Results 11 to 20 of about 23,662 (137)
Galois theory of fuchsian q-difference equations [PDF]
, 2002 We propose an analytical approach to the Galois theory of singular regular linear q-difference systems. We use Tannaka duality along with Birkhoff's classification scheme with the connection matrix to define and describe their Galois groups.
Sauloy, Jacques
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Fundamental groups of topological stacks with slice property [PDF]
, 2007 The main result of the paper is a formula for the fundamental group of the coarse moduli space of a topological stack. As an application, we find simple general formulas for the fundamental group of the coarse quotient of a group action on a topological ...
Armstrong +8 more
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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
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Galois theory on the line in nonzero characteristic [PDF]
, 1992 The author surveys Galois theory of function fields with non-zero caracteristic and its relation to the structure of finite permutation groups and matrix groups.Comment: 66 pages.
Abhyankar, Shreeram S.
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Non-Integrability of Some Higher-Order Painlev\'e Equations in the Sense of Liouville [PDF]
, 2015 In this paper we study the equation $$ w^{(4)} = 5 w" (w^2 - w') + 5 w (w')^2 - w^5 + (\lambda z + \alpha)w + \gamma, $$ which is one of the higher-order Painlev\'e equations (i.e., equations in the polynomial class having the Painlev\'e property).
Christov, Ognyan, Georgiev, Georgi
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Galois Correspondence Theorem for Picard-Vessiot Extensions [PDF]
, 2015 For a homogeneous linear differential equation defined over a differential field K, a Picard-Vessiot extension is a differential field extension of K differentially generated by a fundamental system of solutions of the equation and not adding constants ...
T. Crespo +2 more
semanticscholar +1 more source
Formalized MathematicsSummary This article continues a series devoted to the formalization of the Fundamental Theorem of Galois Theory using the Mizar proof assistant. We define groups of automorphisms and fixed fields and establish their fundamental properties.
Christoph Schwarzweller +1 more
semanticscholar +2 more sources
Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
Multiplicative excellent families of elliptic surfaces of type E_7 or E_8
, 2012 We describe explicit multiplicative excellent families of rational elliptic surfaces with Galois group isomorphic to the Weyl group of the root lattices E_7 or E_8.
Kumar, Abhinav, Shioda, Tetsuji
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Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
wiley +1 more source