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ВИДЕОТЕКА |
Конференция «Бирациональная геометрия и многообразия Фано», посвященная В.А. Исковских
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Surface decompositions of hyper-Kähler manifolds Claire Voisin |
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Аннотация: In recent years, new constructions of complete families of polarized hyper-Kähler manifolds have been found starting from Fano geometry. These hyper-Kähler manifolds also appear as deformations of Hilbert schemes of K3 surfaces or O'Grady manifolds. I will introduce the notion of surface decomposition, which is restrictive and gives a geometric explanation for the Beauville-Fujiki relations, and I will show the existence of such a surface decomposition for the general hyper-Kähler manifold mentioned above. This has implications on the Beauville conjecture. Язык доклада: английский |