Geodesic
Mori cones of holomorphic symplectic varieties of K3 type
[Cônes de Mori des variétés symplectiques holomorphes de type K3]
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 48 (2015) no. 4, pp. 941-950.

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We determine the Mori cone of holomorphic symplectic varieties deformation equivalent to the punctual Hilbert scheme on a K3 surface. Our description is given in terms of Markman's extended Hodge lattice.

On détermine les cônes de Mori des variétés symplectiques holomorphes qui se déforment au schéma de Hilbert de points sur une surface K3. Notre description est donnée en termes de structure de Hodge élargie de Markman.

Publié le :
DOI : 10.24033/asens.2262
Classification : 14E30; 14C20, 53C26, 14J28, 14D07.
Keywords: Mori cone, ample cone, holomorphic symplectic varieties, K3 surfaces
Mots-clés : Cône de Mori, cône ample, variétés symplectiques holomorphes, surfaces K3 
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     title = {Mori cones of holomorphic symplectic varieties of {K3} type},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
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Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri. Mori cones of holomorphic symplectic varieties of K3 type. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 48 (2015) no. 4, pp. 941-950. doi : 10.24033/asens.2262. http://geodesic.mathdoc.fr/articles/10.24033/asens.2262/

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