The generalized Mukai conjecture for spherical varieties with a reductive general isotropy group

Abstract

In the case of spherical varieties with reductive general isotropy group we prove a conjecture of G. Gagliardi and J. Hofscheier, which implies the generalized Mukai conjecture of L. Bonavero, C. Casagrande, O. Debarre and S. Druel for these varieties.