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Published in 2021 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-021-01042-w
Abstract: Richardson varieties are obtained as intersections of Schubert and opposite Schubert varieties. We provide a new family of toric degenerations of Richardson varieties inside Grassmannians by studying Grobner degenerations of their corresponding ideals. These degenerations…
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Keywords:
richardson varieties;
standard monomial;
richardson;
mathbf ell ... See more keywords
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Published in 2022 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439523000309
Abstract: We show that a sufficiently general hypersurface of degree $d$ in $n$-dimensional projective space admits a toric Gr\"obner degeneration if and only if $d\leq 2n-1$.
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Keywords:
degree hypersurfaces;
low degree;
toric degenerations;
degenerations low ... See more keywords