Comptes Rendus
no. 9-10
Algebraic Geometry
Jet schemes of toric surfaces

Presented by: the Editorial Board

Hussein Mourtada1
1 Laboratoire de mathématiques de Versailles, UMR CNRS 8100, bâtiment de Fermat, 45, avenue des États-Unis, 78035 Versailles cedex, France
Comptes Rendus. Mathématique, Volume 349 (2011) no. 9-10, pp. 563-566.

For m∈N, m⩾1, we determine the irreducible components of the m-th jet scheme of a toric surface S. For m big enough, we connect the number of a class of these irreducible components to the number of exceptional divisors on the minimal resolution of S.

Pour m∈N, m⩾1, on détermine les composantes irréductibles des m-espaces des jets dʼune surface torique S. Pour m assez grand, on relie le nombre dʼune classe de ces composantes au nombre de diviseur exceptionnel sur la résolution minimale de S.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2011.03.018

Hussein Mourtada 1

1 Laboratoire de mathématiques de Versailles, UMR CNRS 8100, bâtiment de Fermat, 45, avenue des États-Unis, 78035 Versailles cedex, France 
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Hussein Mourtada. Jet schemes of toric surfaces. Comptes Rendus. Mathématique, Volume 349 (2011) no. 9-10, pp. 563-566. doi : 10.1016/j.crma.2011.03.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.03.018/

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