Quadratic ideals and Rogers-Ramanujan recursions
Algebraic Geometry
2022-10-26 v1 Commutative Algebra
Combinatorics
Abstract
We give an explicit recursive description of the Hilbert series and Gr\"obner bases for the family of quadratic ideals defining the jet schemes of a double point. We relate these recursions to the Rogers-Ramanujan identity and prove a conjecture of the second author, Oblomkov and Rasmussen.
Keywords
Cite
@article{arxiv.1805.01593,
title = {Quadratic ideals and Rogers-Ramanujan recursions},
author = {Yuzhe Bai and Eugene Gorsky and Oscar Kivinen},
journal= {arXiv preprint arXiv:1805.01593},
year = {2022}
}
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17 pages