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In Artin's work on algebraic spaces and algebraic stacks [A2], [A3], a crucial ingredient is the use of his
approximation theorem to prove the algebraizability of formal deformations under quite gene...
Generic deformations of the colored sl(N)-homology for links
the colored sl(N)-homology for links math
2010/11/15
We generalize the works of Lee [arXiv:math/0210213v3] and Gornik [arXiv:math/0402266v2] to construct a basis for generic deformations of the colored sl(N)-homology defined in [arXiv:1002.2662v1]. As a...
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...
Versal Deformations and Versality in Central Extensions of Jacobi's Schemes
Versal Deformations Versality in Central Extensions of Jacobi's Schemes
2010/11/29
Let Lm be the scheme of the laws defined by the Jacobi’s iden-tities on Km with K a field. A deformation of g ∈ Lm, parametrized by a local K-algebra A, is a local K-algebra morphism from the local ri...
Gardner's deformations of the N=2 supersymmetric a=4-KdV equation
Gardner's deformation N=2 supersymmetric a=4-KdV equation
2010/4/7
We prove that P.Mathieu's Open problem on constructing Gardner's deformation for the N=2 supersymmetric a=4-Korteweg-de Vries equation has no supersymmetry invariant solutions, whenever it is assumed ...