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Abstract: Let X be a Hyperk\"{a}hler variety deformation equivalent to the Hilbert square of points on a K3 surface and let f be an involution preserving the symplectic form. We prove that the fixed l...
VersalDeformations - a package for computing versal deformations and local Hilbert schemes
VersalDeformations local Hilbert schemes versal deformations Algebraic Geometry
2011/9/5
Abstract: We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hilbert schem...
On the behaviour of strong semistability in geometric deformations
semistable vector bundles, equicharacteristic deformation
2011/8/25
Abstract: Let $Y \to B$ be a relative smooth projective curve over an affine integral base scheme $B$ of positive characteristic. We provide for all prime characteristics example classes of vector bun...