Toric degenerations of low-degree hypersurfaces
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1231-1236
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We show that a sufficiently general hypersurface of degree d in $\mathbb {P}^n$ admits a toric Gröbner degeneration after linear change of coordinates if and only if $d\leq 2n-1$.
Ilten, Nathan; Lautsch, Oscar. Toric degenerations of low-degree hypersurfaces. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1231-1236. doi: 10.4153/S0008439523000309
@article{10_4153_S0008439523000309,
author = {Ilten, Nathan and Lautsch, Oscar},
title = {Toric degenerations of low-degree hypersurfaces},
journal = {Canadian mathematical bulletin},
pages = {1231--1236},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000309},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000309/}
}
TY - JOUR AU - Ilten, Nathan AU - Lautsch, Oscar TI - Toric degenerations of low-degree hypersurfaces JO - Canadian mathematical bulletin PY - 2023 SP - 1231 EP - 1236 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000309/ DO - 10.4153/S0008439523000309 ID - 10_4153_S0008439523000309 ER -
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