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arXiv · 1805.01593

Quadratic ideals and Rogers-Ramanujan recursions

Yuzhe Bai·Eugene Gorsky·Oscar Kivinen
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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.

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Yuzhe Bai, Eugene Gorsky, Oscar Kivinen. 2018-05-04. Quadratic ideals and Rogers-Ramanujan recursions. https://arxiv.org/abs/1805.01593

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