## Boris Pasquier - Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$

epiga:5090 - Épijournal de Géométrie Algébrique, April 19, 2020, Volume 4 - https://doi.org/10.46298/epiga.2020.volume4.5090
Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$

Authors: Boris Pasquier

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.

Volume: Volume 4
Published on: April 19, 2020
Accepted on: April 19, 2020
Submitted on: January 17, 2019
Keywords: Projective varieties with small Picard group,Log Minimal Model Program,Horospherical varieties,[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]