Spherical varieties and Wahl’s conjecture
[Variétés sphériques et conjecture de Wahl]
Annales de l'Institut Fourier, Tome 64 (2014) no. 2, pp. 739-751.

En utilisant les variétés sphériques, nous donnons, en toute caractéristique impaire, une preuve courte et uniforme de la conjecture de Wahl pour les variétés homogènes cominuscules.

Using the theory of spherical varieties, we give a type independent very short proof of Wahl’s conjecture for cominuscule homogeneous varieties for all primes different from 2.

DOI : 10.5802/aif.2864
Classification : 14M27, 14M15, 20G10
Keywords: Frobenius splitting, spherical varieties, Wahl’s conjecture
Mot clés : scindage de Frobenius, variétés sphériques, conjecture de Wahl
Perrin, Nicolas 1

1 Heinrich-Heine-Universität Mathematisches Institut Universitätsstr. 1 40225 Düsseldorf (Germany)
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Perrin, Nicolas. Spherical varieties and Wahl’s conjecture. Annales de l'Institut Fourier, Tome 64 (2014) no. 2, pp. 739-751. doi : 10.5802/aif.2864. http://archive.numdam.org/articles/10.5802/aif.2864/

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