no. 7
On projective toric varieties whose defining ideals have minimal generators of the highest degree
Annales de l'Institut Fourier, Volume 53 (2003) no. 7, pp. 2243-2255.

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.

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.

DOI: 10.5802/aif.2005
Classification: 14M25,  14J40,  52B20
Keywords: toric varieties, convex polytopes, generators of ideals 
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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, Volume 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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