Hilbert series of symplectic quotients by the 2-torus
Symplectic Geometry
2023-07-17 v1 Commutative Algebra
Algebraic Geometry
Abstract
We compute the Hilbert series of the graded algebra of real regular functions on a linear symplectic quotient by the -torus as well as the first four coefficients of the Laurent expansion of this Hilbert series at . We describe an algorithm to compute the Hilbert series as well as the Laurent coefficients in explicit examples.
Keywords
Cite
@article{arxiv.2010.01708,
title = {Hilbert series of symplectic quotients by the 2-torus},
author = {Hans-Christian Herbig and Daniel Herden and Christopher Seaton},
journal= {arXiv preprint arXiv:2010.01708},
year = {2023}
}
Comments
22 pages