Results 1 to 10 of about 640 (33)

Finite torsors over strongly $F$-regular singularities [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
doaj   +1 more source

Covariants, Invariant Subsets, and First Integrals [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2020
Let $k$ be an algebraically closed field of characteristic 0, and let $V$ be a finite-dimensional vector space. Let $End(V)$ be the semigroup of all polynomial endomorphisms of $V$.
Frank Grosshans, Hanspeter Kraft
doaj   +1 more source

When are the natural embeddings of classical invariant rings pure?

open access: yesForum of Mathematics, Sigma, 2023
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster   +3 more
doaj   +1 more source

GRADED UNIPOTENT GROUPS AND GROSSHANS THEORY

open access: yesForum of Mathematics, Sigma, 2017
Let $U$ be a unipotent group which is graded in the sense that it has an extension $H$
GERGELY BÉRCZI, FRANCES KIRWAN
doaj   +1 more source

THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE

open access: yesForum of Mathematics, Pi, 2016
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
doaj   +1 more source

STABILITY PATTERNS IN REPRESENTATION THEORY

open access: yesForum of Mathematics, Sigma, 2015
We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories.
STEVEN V SAM, ANDREW SNOWDEN
doaj   +1 more source

Invariants of the dihedral group $D_{2p}$ in characteristic two [PDF]

open access: yes, 2010
We consider finite dimensional representations of the dihedral group $D_{2p}$ over an algebraically closed field of characteristic two where $p$ is an odd integer and study the degrees of generating and separating polynomials in the corresponding ring of
MARTIN KOHLS, MÜFİT SEZER, Schmid
core   +2 more sources

Separating invariants for the basic G_a-actions [PDF]

open access: yes, 2010
We explicitly construct a finite set of separating invariants for the basic $\Ga$-actions. These are the finite dimensional indecomposable rational linear representations of the additive group $\Ga$ of a field of characteristic zero, and their invariants
Elmer, Jonathan, Kohls, Martin
core   +2 more sources

The Hilbert series of the superspace coinvariant ring

open access: yesForum of Mathematics, Pi
Let $\Omega _n$ be the ring of polynomial-valued holomorphic differential forms on complex n-space, referred to in physics as the superspace ring of rank n.
Brendon Rhoades, Andrew Timothy Wilson
doaj   +1 more source

On the characterization of Danielewski surfaces by their automorphism group

open access: yes, 2019
In this note we show that if the automorphism group of a normal affine surface $S$ is isomorphic to the automorphism group of a Danielewski surface, then $S$ is isomorphic to a Danielewski surface.Comment: 5 pages.
Liendo, Alvaro   +2 more
core   +1 more source

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