Semipolarized nonruled surfaces with sectional genus two.
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Biancofiore, Aldo, Fania, Maria Lucia, Lanteri, Antonio (2006)
Beiträge zur Algebra und Geometrie
W. Barth, Th. Bauer (1994)
Manuscripta mathematica
M., Lazarsfeld, R. Green (1987)
Inventiones mathematicae
Bazajkin, Ya.V. (2005)
Sibirskij Matematicheskij Zhurnal
Daniel Naie (1994)
Mathematische Annalen
Aspinwall, Paul S. (1998)
Documenta Mathematica
Tetsuji Shioda (1987)
Journal für die reine und angewandte Mathematik
Daniel Naie (1994)
Mathematische Zeitschrift
Giovanni Mongardi (2012)
Open Mathematics
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...
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