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arXiv · 1511.01866

Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on $G(2,n)$

Nathan Ilten·Charles Turo
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Abstract

Let $Q^*$ denote the dual of the quotient bundle on the Grassmannian $G(2,n)$. We prove that the ideal of $Q^*$ in its natural embedding has initial ideal equal to the Stanley-Reisner ideal of a certain unobstructed simplicial complex. Furthermore, we show that the coordinate ring of $Q^*$ has no infinitesimal deformations for $n>5$.

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Nathan Ilten, Charles Turo. 2015-11-05. Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on $G(2,n)$. https://doi.org/10.1016/j.jpaa.2016.05.029

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