Results 11 to 20 of about 193 (124)

Semi-topological Galois theory and the inverse Galois problem

, 2010
23 ...
Liao, Hsuan-Yi, Teh, Jyh-Haur
openaire   +2 more sources

The $q$-analogue of the wild fundamental group and the inverse problem of the Galois theory of $q$-difference equations [PDF]

Annales scientifiques de l'École normale supérieure, 2015
In previous papers, we defined $q$-analogues of alien derivations for linear analytic $q$-difference equations with integral slopes and proved a density theorem (in the Galois group) and a freeness theorem. In this paper, we completely describe the wild fundamental group and apply this result to the inverse problem in $q$-difference Galois theory.
Ramis, Jean-Pierre, Sauloy, Jacques
openaire   +2 more sources

Differential Galois theory III: Some inverse problems

Illinois Journal of Mathematics, 1997
[For Part I see ibid. 42, No. 4, 678-699 (1998; Zbl 0916.03028). Part II is reviewed above.] In Part I, the author developed a theory of differential Galois extensions, generalizing Kolchin's theory of strongly normal extensions. It was shown that arbitrary finite-dimensional differential algebraic groups can arise as differential Galois groups for ...
Marker, David, Pillay, Anand
openaire   +3 more sources

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Inducing Coverings on Hilbert Schemes

Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley   +1 more source

On the Inverse Problem in Differential Galois Theory [PDF]

, 2002
Differential Galois theory generalizes the usual Galois theory for polynomials to differential equations. There is the notion of a splitting field (Picard-Vessiot extension) of a differential equation, and the differential Galois group is the group of automorphisms of this extension which fix the base field and commute with the derivation. Differential
openaire   +1 more source

Galois Theory for Inverse Semigroup Orthogonal Actions

, 2020
A Galois correspondence theorem is proved for the case of inverse semigroups acting orthogonally on commutative rings as a consequence of the Galois correspondence theorem for groupoid actions. To this end, we use a classic result of inverse semigroup theory that establishes a one-to-one correspondence between inverse semigroups and inductive groupoids.
Lautenschlaeger, Wesley G., Tamusiunas, Thaísa   +1 more
openaire   +2 more sources

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Galois theory under inverse semigroup actions

Journal of Algebra
30 ...
Wesley G. Lautenschlaeger, Thaísa Tamusiunas   +1 more
openaire   +2 more sources