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Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
Characterizing projective spaces deformations Hilbert schemes of K3 surfaces
2010/11/11
We seek to characterize homology classes of Lagrangian projective spaces embedded in irreducible holomorphic-symplectic manifolds, up to the action of the monodromy group. This paper addresses the ca...
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
Hilbert schemes of points locally planar curve Severi strata of its versal deformation
2010/11/30
Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central
point are determ...
The Standard Conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces
Standard Conjectures holomorphic symplectic varieties deformation Hilbert schemes of K3 surfaces
2010/11/29
We prove the standard conjectures for complex projective varieties that are deformations of the Hilbert scheme of points on a K3 surface. The proof involves Verbitsky’s theory of hyperholomorphic shea...