Articles with "toric degenerations" as a keyword



Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian

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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… read more here.

Keywords: richardson varieties; standard monomial; richardson; mathbf ell ... See more keywords
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TORIC DEGENERATIONS OF LOW DEGREE HYPERSURFACES

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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 $d\leq 2n-1$. read more here.

Keywords: degree hypersurfaces; low degree; toric degenerations; degenerations low ... See more keywords