Equivariant compactifications of vector groups with high index

Fu, Baohua; Montero, Pedro

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

Fu, Baohua ^1,² ; Montero, Pedro 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, Tome 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 :

Fu, Baohua ^{1, 2} ; Montero, Pedro ³

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Fu, Baohua; Montero, Pedro. Equivariant compactifications of vector groups with high index. Comptes Rendus. Mathématique, Tome 357 (2019) no. 5, pp. 455-461. doi : 10.1016/j.crma.2019.05.002. http://www.numdam.org/articles/10.1016/j.crma.2019.05.002/

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