m
• E

F Nous contacter

0

# Documents  Kuznetsov, Alexander | enregistrements trouvés : 2

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Rationality of Fano 3-folds over non-closed fields Kuznetsov, Alexander | CIRM H

Post-edited

Research talks;Algebraic and Complex Geometry

In the talk I will discuss rationality criteria for Fano 3-folds of geometric Picard number 1 over a non-closed field $k$ of characteristic 0. Among these there are 8 types of geometrically rational varieties. We prove that in one of these cases any variety of this type is k-rational, in four cases the criterion of rationality is the existence of a $k$-rational point, and in the last three cases the criterion is the existence of a $k$-rational point and a k rational curve of genus 0 and degree 1, 2, and 3 respectively. The last result is based on recent results of Benoist-Wittenberg. This is a joint work with Yuri Prokhorov. In the talk I will discuss rationality criteria for Fano 3-folds of geometric Picard number 1 over a non-closed field $k$ of characteristic 0. Among these there are 8 types of geometrically rational varieties. We prove that in one of these cases any variety of this type is k-rational, in four cases the criterion of rationality is the existence of a $k$-rational point, and in the last three cases the criterion is the existence of a $k$-rational ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Geometry and moduli spaces of Gushel-Mukai varieties Kuznetsov, Alexander | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

A Gushel-Mukai variety is a Fano variety of coindex 3, Picard number 1, and degree 10. I will discuss classification of these Fano varieties, their moduli spaces, and their relation to EPW sextics. This is a joint work with Olivier Debarre.

#### Filtrer

##### Codes MSC

Titres de périodiques et e-books électroniques (Depuis le CIRM)

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z