no. 7
On projective toric varieties whose defining ideals have minimal generators of the highest degree
[Sur les variétés toriques projectives dont les idéaux annulateurs ont des générateurs minimaux de plus haut degré]
Ogata, Shoetsu1
1 Tohoku University, Mathematical Institute, Sendai 980 (Japon)
Annales de l'Institut Fourier, Tome 53 (2003) no. 7, pp. 2243-2255.

Il est connu que les générateurs de l’idéal annulateur d’une variété torique projective de dimension n, plongée par les sections globales d’un fibré en droites normalement engendré, sont de degré au plus n+1. Nous caractérisons les variétés projectives de dimension n dont un générateur au moins de l’idéal annulateur doit être de degré n+1.

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.

DOI : 10.5802/aif.2005
Classification : 14M25, 14J40, 52B20
Keywords: toric varieties, convex polytopes, generators of ideals
Mot clés : variétés toriques, polytopes convexes, générateurs d'idéaux

Ogata, Shoetsu 1

1 Tohoku University, Mathematical Institute, Sendai 980 (Japon) 
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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, Tome 53 (2003) no. 7, pp. 2243-2255. doi : 10.5802/aif.2005. https://aif.centre-mersenne.org/articles/10.5802/aif.2005/

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