Spherical varieties and Wahl's conjecture

TL;DR

This paper provides a concise proof of Wahl's conjecture for cominuscule homogeneous spaces using spherical varieties and Frobenius splitting, applicable across various primes except 2.

Contribution

It introduces a type-independent, short proof of Wahl's conjecture leveraging spherical varieties and Frobenius splitting techniques.

Findings

Proof of Wahl's conjecture for cominuscule homogeneous spaces

Applicable to all primes except 2

Utilizes spherical varieties and Frobenius splitting methods

Abstract

Using the theory of spherical varieties and especially Frobenius splitting results for symmetric varieties, we give a type independent very short proof of Wahl's conjecture for cominuscule homogeneous spaces for all primes different from 2.