When does the zero fiber of the moment map have rational singularities?

DOI10.2140/GT.2024.28.3475MaRDI QIDQ6647561

Christopher Seaton, Hans-Christian Herbig, Gerald W. Schwarz

Publication date: 3 December 2024

Published in: Geometry \& Topology (Search for Journal in Brave)

moment map rational singularities character variety representation variety symplectic singularities singular symplectic reduction representation growth of linear groups

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Actions of groups on commutative rings; invariant theory (13A50) Momentum maps; symplectic reduction (53D20) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Character varieties (14M35)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Symplectic reduction at zero angular momentum
Representation growth and rational singularities of the moduli space of local systems
Character varieties of free groups are Gorenstein but not always factorial
The Koszul complex of a moment map
The generalization of Faulhaber's formula to sums of non-integral powers
Complete intersections and symmetric algebras
The symplectic nature of fundamental groups of surfaces
Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
Lifting smooth homotopies of orbit spaces
On linear subspaces of nilpotent elements in a Lie algebra
The space of surface group representations
Symplectic resolutions for nilpotent orbits
Counting points of schemes over finite rings and counting representations of arithmetic lattices
Varieties of characters
Moduli of representations of the fundamental group of a smooth projective variety. II
Conjugacy classes of n-tuples in Lie algebras and algebraic groups
Symplectic singularities
When is a symplectic quotient an orbifold?
Covering spaces of character varieties
Extension of 2-forms and symplectic varieties
On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
The Yang-Mills equations over Riemann surfaces
Lifting differential operators from orbit spaces
Rational Singularities, Quiver Moment Maps, and Representations of Surface Groups
Symplectic quotients have symplectic singularities
Nilpotent subspaces of maximal dimension in semi-simple Lie algebras
A characterization of rational singularities
Orbits of linear algebraic groups
Jet schemes of locally complete intersection canonical singularities.
On singularity properties of word maps and applications to probabilistic Waring type problems

This page was built for publication: When does the zero fiber of the moment map have rational singularities?

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6647561)