Algebraic geometry
On the deformation rigidity of smooth projective symmetric varieties with Picard number one
[Sur la rigidité de la déformation de variétés projectives lisses symétriques de nombre de Picard un]
Comptes Rendus. Mathématique, Tome 357 (2019) no. 11-12, pp. 889-896.

Les variétés symétriques sont les plongements ouverts normaux équivariants des espaces homogènes symétriques et ce sont des exemples intéressants de variétés sphériques. L'objectif principal de cet article est d'étudier la rigidité sous les déformations kähleriennes des variétés projectives lisses symétriques de nombre de Picard un.

Symmetric varieties are normal equivariant open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. The principal goal of this article is to study the rigidity under Kähler deformations of smooth projective symmetric varieties with Picard number one.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.10.008
Kim, Shin-Young 1 ; Park, Kyeong-Dong 2

1 Institut Fourier, Grenoble 38058, France
2 Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea
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Kim, Shin-Young; Park, Kyeong-Dong. On the deformation rigidity of smooth projective symmetric varieties with Picard number one. Comptes Rendus. Mathématique, Tome 357 (2019) no. 11-12, pp. 889-896. doi : 10.1016/j.crma.2019.10.008. http://www.numdam.org/articles/10.1016/j.crma.2019.10.008/

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