# 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

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topOgata, 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 -

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