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 1,2

  • 1 LMA-Poitiers - Laboratoire de Mathématiques et Applications
  • 2 Laboratoire de Mathématiques et Applications

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.

https://doi.org/10.46298/epiga.2020.volume4.5090
Source: HAL:hal-01944408v5
Volume: Volume 4
Published on: April 19, 2020
Accepted on: March 10, 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]
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Fibrations et actions de groupes algébriques; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003

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