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        font style='font-size:12px;'> 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...

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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        font style='font-size:12px;'> 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...

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