Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Symplectic involutions on deformations of K3[2]

100%

Mongardi G.

Open Mathematics

2012

tom 10

nr 4

1472-1485

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.

Ograniczanie wyników

1 Open Mathematics

1 Mongardi G.

1 2012

Wyniki wyszukiwania

Symplectic involutions on deformations of K3[2]