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

TL;DR

This paper proves a conjecture related to spherical varieties with reductive isotropy groups, confirming a generalized Mukai conjecture for this class of algebraic varieties.

Contribution

It establishes the validity of the generalized Mukai conjecture for spherical varieties with reductive isotropy groups, advancing understanding in algebraic geometry.

Findings

Proves a conjecture for spherical varieties with reductive isotropy groups.

Confirms the generalized Mukai conjecture for these varieties.

Links the conjecture to broader classifications in algebraic geometry.

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.