Results 41 to 50 of about 5,376,358 (214)

Hopf Galois theory of separable field extensions [PDF]

, 2016
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Teresa Crespo VicenteHopf Galois theory is a generalization of Galois theory.
Salguero Garcı́a, Marta
core   +6 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

On the notion of indiscernibility in the light of Galois-Grothendieck Theory [PDF]

, 2013
We analyze the notion of indiscernibility in the light of the Galois theory of field extensions and the generalization to K-algebras proposed by Grothendieck.
Catren, Gabriel, Page, Julien
core  

Galois-module theory for wildly ramified covers of curves over finite fields: (with an Appendix by Bernhard Köck and Adriano Marmora)

, 2019
Given a Galois cover of curves over F_p , we relate the p-adic valuation of epsilon constants appearing in functional equations of ArtinL-functions to an equivariant Euler characteristic.
Köck, Bernhard, Fischbacher-Weitz, Helena, Fischbacher-Weitz, Helena B., Marmora, Adriano   +3 more
core   +1 more source

A new discretization of the Euler equation via the finite operator theory [PDF]

Open Communications in Nonlinear Mathematical Physics
We propose a novel discretization procedure for the classical Euler equation, based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators.
Miguel A. Rodríguez, Piergiulio Tempesta   +1 more
doaj   +1 more source

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

On the Existential Theory of the Completions of a Global Field

Mathematische Nachrichten, Volume 299, Issue 9, Page 2680-2692, September 2026.
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley   +1 more source

An introduction to Differential Galois Theory

, 2023
openIn questa tesi verrà introdotta la Teoria di Galois Differenziale, detta anche Teoria di Picard-Vessiot, la quale riprende le idee della Teoria di Galois classica e le applica allo studio delle soluzioni di equazioni differenziali. Verranno definite
TACCHETTI, EDOARDO
core  

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

Real Belyi theory [PDF]

, 2007
We develop a Belyi type theory that applies to Klein surfaces, i.e. (possibly non-orientable) surfaces with boundary which carry a dianalytic structure.
Koeck, Bernhard, Singerman, David
core   +1 more source