On projective toric varieties whose defining ideals have minimal generators of the highest degree

Shoetsu Ogata[1]

  • [1] Tohoku University, Mathematical Institute, Sendai 980 (Japon)

Annales de l'Institut Fourier (2003)

  • Volume: 53, Issue: 7, page 2243-2255
  • ISSN: 0373-0956

Abstract

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It is known that generators of ideals defining projective toric varieties of dimension n embedded by global sections of normally generated line bundles have degree at most n + 1 . We characterize projective toric varieties of dimension n whose defining ideals must have elements of degree n + 1 as generators.

How to cite

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Ogata, Shoetsu. "On projective toric varieties whose defining ideals have minimal generators of the highest degree." Annales de l'Institut Fourier 53.7 (2003): 2243-2255. <http://eudml.org/doc/116098>.

@article{Ogata2003,
abstract = {It is known that generators of ideals defining projective toric varieties of dimension $n$ embedded by global sections of normally generated line bundles have degree at most $n+1$. We characterize projective toric varieties of dimension $n$ whose defining ideals must have elements of degree $n+1$ as generators.},
affiliation = {Tohoku University, Mathematical Institute, Sendai 980 (Japon)},
author = {Ogata, Shoetsu},
journal = {Annales de l'Institut Fourier},
keywords = {toric varieties; convex polytopes; generators of ideals},
language = {eng},
number = {7},
pages = {2243-2255},
publisher = {Association des Annales de l'Institut Fourier},
title = {On projective toric varieties whose defining ideals have minimal generators of the highest degree},
url = {http://eudml.org/doc/116098},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Ogata, Shoetsu
TI - On projective toric varieties whose defining ideals have minimal generators of the highest degree
JO - Annales de l'Institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 7
SP - 2243
EP - 2255
AB - It is known that generators of ideals defining projective toric varieties of dimension $n$ embedded by global sections of normally generated line bundles have degree at most $n+1$. We characterize projective toric varieties of dimension $n$ whose defining ideals must have elements of degree $n+1$ as generators.
LA - eng
KW - toric varieties; convex polytopes; generators of ideals
UR - http://eudml.org/doc/116098
ER -

References

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