N-Point Deformation of Algebraic K3 Surfaces

Details N-Point Deformation of Algebraic K3 Surfaces N-Point Deformation of Algebraic K3 Surfaces

2002-04-02

arxiv.org/abs/hep-th/0204013v1

J.Math.Phys. 44 (2003) 1389-1395

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX file

Scientific paper

We consider N-point deformation of algebraic K3 surfaces. First, we construct two-point deformation of algebraic K3 surfaces by considering algebraic deformation of a pair of commutative algebraic K3 surfaces. In this case, the moduli space of the noncommutative deformations is of dimension 19, the same as the moduli dimension of the complex deformations of commutative algebraic K3 surfaces. Then, we extend this method to the N-point case. In the N-point case, the dimension of deformation moduli space becomes 19N(N-1)/2.

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