On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line by Tambasco Salvatore

Subjects: Get full text

Stratification of singular hyperkähler quotients by Mayrand Maxence

Subjects: Get full text

Words and polynomial invariants of finite groups in non-commutative variables by Anouk Bergeron-Brlek, Christophe Hohlweg, Mike Zabrocki

Subjects: “…invariant theory…”
Get full text

Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis by Nicolas Thiéry

Subjects: Get full text

Combinatorics of symplectic invariant tensors by Martin Rubey, Bruce W. Westbury

“…An important problem from invariant theory is to describe the subspace of a tensor power of a representation invariant under the action of the group. …”
Get full text

Constructing quotients of algebraic varieties by linear algebraic group actions by Bérczi, G, Hawes, T, Kirwan, F, Doran, B

“… <p>In this article we review the question of constructing geometric quotients of actions of linear algebraic groups on irreducible varieties over algebraically closed fields of characteristic zero, in the spirit of Mumford’s geometric invariant theory (GIT). The article surveys some recent work on geometric invariant theory and quotients of varieties by linear algebraic group actions, as well as background material on linear algebraic groups, Mumford’s GIT and some of the challenges that the non-reductive setting presents. …”

The Computation of Generalized Invariants by Uğur Madran

“…Generalized invariants are useful in the study of modular invariant theory, where the characteristic of the base field divides the order of the group. …”
Get full text

MORE ON SUPERCOVARIANTLY CONSTANT SPINORS by Tod, K

“…With a dilaton with varying coupling, or with axion and dilaton in an -invariant theory we find all such metrics; in SU(4) supergravity with axion and dilaton, we find all such metrics subject to an extra restriction.…”

Identities Generalizing the Theorems of Pappus and Desargues by Roger D. Maddux

“…They are closely related to the Arguesian identity in lattice theory and to Cayley-Grassmann identities in invariant theory.…”
Get full text

Implosion for hyperkähler manifolds by Dancer, A, Kirwan, F, Swann, A

“…It also has a description as a non-reductive geometric invariant theory quotient.…”

The Fubini Theorem for Normal Lie Subgroups of Index 2n by Leandro Nery de Oliveira, Marcos Aurélio de Alcântara

“…We also present some applications of this result for the invariant theory.…”
Get full text

Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem by Yeliussizov, Damir

“…We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares. …”
Get full text

On the arithmetic of simple singularities of type E by Romano, B, Thorne, JA

“…In this paper, we use arithmetic invariant theory to study the integral points of the curves associated to the exceptional diagrams E₆,E₇, E₈. …”

Stratifying quotient stacks and moduli stacks by Berczi, G, Hoskins, V, Kirwan, F

“…Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X∕H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S∕H] has a geometric quotient S∕H. …”

Hamiltonian actions of unipotent groups on compact K\"ahler manifolds by Daniel Greb, Christian Miebach

“…The relation of our complex-analytic theory to the work of Doran--Kirwan regarding the Geometric Invariant Theory of unipotent group actions on projective varieties is discussed in detail.…”
Get full text

A multiplicative analogue of complex symplectic implosion by Dancer, A, Kirwan, F

“…The universal multiplicative implosion for SL(n,C)SL(n,C) is an affine variety and can be viewed as a nonreductive geometric invariant theory quotient. It carries a torus action and reductions by this action give the Steinberg fibres of SL(n,C)SL(n,C) . …”

Inflation in a scale-invariant universe by Ferreira, P, Hill, C, Noller, J, Ross, G

“…We use a frame-invariant approach to calculate inflationary observables in a scale-invariant theory of gravity involving two scalar fields: the spectral indices, the tensor-to-scalar ratio, the level of isocurvature modes, and non-Gaussianity. …”

Compact connected components in relative character varieties of punctured spheres by Nicolas Tholozan, Jérémy Toulisse

“…The examples we construct admit a rather explicit description as projective varieties obtained via Geometric Invariant Theory.…”
Get full text

M5 branes on ℝ1,1 ×Taub-NUT by Andreas Gustavsson

“…With all this, we obtain a fully supersymmetric and gauge invariant theory.…”
Get full text

Mori Dream Spaces by McKernan, James

Get full text