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arXiv · 2010.01708

Hilbert series of symplectic quotients by the 2-torus

Hans-Christian Herbig·Daniel Herden·Christopher Seaton
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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.

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BibTeXRIS

Hans-Christian Herbig, Daniel Herden, Christopher Seaton. 2020-10-04. Hilbert series of symplectic quotients by the 2-torus. https://doi.org/10.1007/s13348-022-00357-6

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