Zobrazeno 1 - 10
of 40
pro vyhledávání: '"14L15, 14L17"'
A very useful result concerning flatness in Algebraic Geometry is EGA's ``fiber'' criterion. We propose similar fiber criteria to verify flatness of a module while avoiding ``finiteness'' assumptions. Motivated by a Tannakian viewpoint (where the cat
Externí odkaz:
http://arxiv.org/abs/2401.02006
Autor:
Loverro, Micah, Vasiu, Adrian
Let $p$ be a prime. Given a split semisimple group scheme $G$ over a normal integral domain $R$ which is a faithfully flat $\mathbb Z_{(p)}$-algebra, we classify all finite dimensional representations $V$ of the fiber $G_K$ of $G$ over $K:=\text{Frac
Externí odkaz:
http://arxiv.org/abs/2208.00282
Autor:
Bauer, Tilman
As an extension of previous ungraded work, we define a graded $p$-polar ring to be an analog of a graded commutative ring where multiplication is only allowed on $p$-tuples (instead of pairs) of elements of equal degree. We show that the free affine
Externí odkaz:
http://arxiv.org/abs/2203.05286
Autor:
Bauer, Tilman
As an extension of previous ungraded work, we define a graded $p$-polar ring to be an analog of a graded commutative ring where multiplication is only allowed on $p$-tuples (instead of pairs) of elements of equal degree. We show that the free affine
Externí odkaz:
http://arxiv.org/abs/2106.01845
Autor:
Wibmer, Michael
We show that a closed finite index subgroup of a free proalgebraic group is itself a free proalgebraic group. Our main motivation for this result is an application in differential Galois theory: The absolute differential Galois group of a one-variabl
Externí odkaz:
http://arxiv.org/abs/2102.02553
Autor:
Bauer, Tilman
We show that the functor of $p$-typical co-Witt vectors on commutative algebras over a perfect field $k$ of characteristic $p$ is defined on, and in fact only depends on, a weaker structure than that of a $k$-algebra. We call this structure a $p$-pol
Externí odkaz:
http://arxiv.org/abs/2012.10196
Autor:
Wibmer, Michael
Affine difference algebraic groups are a generalization of affine algebraic groups obtained by replacing algebraic equations with algebraic difference equations. We show that the isomorphism theorems from abstract group theory have meaningful analogs
Externí odkaz:
http://arxiv.org/abs/2007.07137
Autor:
Pillay, Anand, Wibmer, Michael
We lay the foundations for a model theoretic study of proalgebraic groups. Our axiomatization is based on the tannakian philosophy. Through a tensor analog of skeletal categories we are able to consider neutral tannakian categories with a fibre funct
Externí odkaz:
http://arxiv.org/abs/1908.10064
Autor:
Wibmer, Michael
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 4 (February 19, 2020) epiga:5733
Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems. The mai
Externí odkaz:
http://arxiv.org/abs/1904.07455
Publikováno v:
Mathematische Nachrichten, Volume 291, Issue11-12, 2018, Pages 1733-1742
We follow the pattern in a recent paper of Otabe [Ota15] to define an action of the \'etale fundamental group scheme $\pi^\text{et}(X)$ on the local component of the essentially finite fundamental group scheme $\pi^{\mathrm{EF}}(X)$ of Nori. We show
Externí odkaz:
http://arxiv.org/abs/1701.06479