Mori cones of holomorphic symplectic varieties of K3 type

Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri

doi:10.24033/asens.2262

Mori cones of holomorphic symplectic varieties of K3 type
[Cônes de Mori des variétés symplectiques holomorphes de type K3]

Bayer, Arend ; Hassett, Brendan ; Tschinkel, Yuri

Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 48 (2015) no. 4, pp. 941-950.

Résumé
Abstract

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.

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.

Publié le : 2015-09-24

MR Zbl | 1 citation dans Numdam

DOI : 10.24033/asens.2262

Classification : 14E30; 14C20, 53C26, 14J28, 14D07.
Keywords: Mori cone, ample cone, holomorphic symplectic varieties, K3 surfaces
Mot 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},
     pages = {941--950},
     publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es},
     volume = {Ser. 4, 48},
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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://www.numdam.org/articles/10.24033/asens.2262/

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