Hilbert series of symplectic quotients by the 2-torus

Abstract

We compute the Hilbert series of the graded algebra of real regular functions on a linear symplectic quotient by the $2$-torus as well as the first four coefficients of the Laurent expansion of this Hilbert series at $t=1$. We describe an algorithm to compute the Hilbert series as well as the Laurent coefficients in explicit examples.

22 pages

References in corpus (1)

• On Orbifold Criteria for Symplectic Toric Quotients

Cited by in corpus (2)

• The symplectic form associated to a singular Poisson algebra
• Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank $1$ Lie groups