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Showing 1 to 5 of 5 for “"Hilbert scheme of points"”.
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Deformations of the Hilbert scheme of points on a del Pezzo surface
The Hilbert scheme of $n$ points in a smooth del Pezzo surface $S$ parameterizes zero-dimensional subschemes with length $n$ on $S$. We construct a flat family of deformations of Hilb$^n S$ which can be conceptually understood as the family of Hilbert schemes of points on a family of noncommutative …
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Surface multi-space
… symmetry methods in the numerical analysis of ordinary differential equations. Here we define multi-space for surfaces, thereby extending the framework to partial differential equations in two independent variables. The main technical tool is the Hilbert scheme of points on a surface, which …
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Finite dimensional representations of sympletic reflection algebras for wreath products
… algebras are attached to any finite group G of automorphisms of a symplectic vector space V , and are a multi-parameter deformation of the smash product TV ?G, where TV is the tensor algebra. Their representations have been studied in connection with different subjects, such as symplectic …
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Border Basis Schemes
The basic idea of border basis theory is to describe a zero-dimensional ring P/I by an order ideal of terms whose residue classes form a K-vector space basis of P/I. The O-border basis scheme is a scheme that parametrizes all zero-dimensional ideals that have an O-border basis. In general, the …
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Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane
… provide an asymptotic stability portrait for the Hilbert scheme of six points on the complex projective plane, and provide a description of its geometric invariant theory (GIT) quotient.