Spherical varieties and Wahl’s conjecture

Perrin, Nicolas

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.

Classification : 14M27, 14M15, 20G10
Keywords: Frobenius splitting, spherical varieties, Wahl’s conjecture
Mot clés : scindage de Frobenius, variétés sphériques, conjecture de Wahl

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