Equivariant compactifications of vector groups with high index

Baohua Fu; Pedro Montero

doi:10.1016/j.crma.2019.05.002

Algebraic geometry

Equivariant compactifications of vector groups with high index
[Compactifications équivariantes du groupe vectoriel de grand indice]

Présenté par : Claire Voisin

Baohua Fu ^1,² ; Pedro Montero ³

¹ MCM, AMSS, Chinese Academy of Sciences, 55 ZhongGuanCun East Road, Beijing, 100190, China
² School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China
³ Departamento de Matemática, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso, Chile

Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 455-461.

Résumé
Abstract

Dans cette note, nous classifions les compactifications équivariantes lisses de $G_{a}^{n}$ qui sont des variétés de Fano d'indice $\geq n - 2$ .

In this note, we classify smooth equivariant compactifications of $G_{a}^{n}$ that are Fano manifolds with index $\geq n - 2$ .

Reçu le : 2018-10-15
Accepté le : 2019-05-13
Publié le : 2019-05-01

DOI : 10.1016/j.crma.2019.05.002

Affiliations des auteurs :

Baohua Fu ^{1, 2} ; Pedro Montero ³

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     author = {Baohua Fu and Pedro Montero},
     title = {Equivariant compactifications of vector groups with high index},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {455--461},
     publisher = {Elsevier},
     volume = {357},
     number = {5},
     year = {2019},
     doi = {10.1016/j.crma.2019.05.002},
     language = {en},
}

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Baohua Fu; Pedro Montero. Equivariant compactifications of vector groups with high index. Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 455-461. doi : 10.1016/j.crma.2019.05.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.05.002/

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