Symplectic involutions on deformations of K3[2]

• Autorzy: Giovanni Mongardi
• Języki publikacji: EN

Abstrakty

EN

Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let φ be an involution preserving the symplectic form. We prove that the fixed locus of φ consists of 28 isolated points and one K3 surface, and moreover that the anti-invariant lattice of the induced involution on H 2(X, ℤ) is isomorphic to E 8(−2). Finally we show that any couple consisting of one such manifold and a symplectic involution on it can be deformed into a couple consisting of the Hilbert square of a K3 surface and the involution induced by a symplectic involution on the K3 surface.

Słowa kluczowe

EN

Symplectic involution; Holomorphic symplectic fourfolds

Kategorie tematyczne

• 14J50: Automorphisms of surfaces and higher-dimensional varieties

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1472-1485

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Giovanni Mongardi

• Università degli studi Roma Tre

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0073-z