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Quadratic ideals and Rogers–Ramanujan recursions
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https://doi.org/10.1007/s11139-018-0127-3Abstract
We give an explicit recursive description of the Hilbert series and Gröbner 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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