Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$

Abstract

We classify all smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.

Keywords

• projective varieties with small picard group
• log minimal model program
• horospherical varieties
• [math.math-ag]mathematics [math]/algebraic geometry [math.ag]