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Noncommutative hyper-Kähler structure for K3 surfaces

Journal of Physics A: Mathematical and General, ISSN: 0305-4470, Vol: 36, Issue: 20, Page: 5655-5662
2003
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Article Description

We apply the method of algebraic deformation to N-tuple of algebraic K3 surfaces. When N = 3, we show that the deformed triplet of algebraic K3 surfaces exhibits a deformed hyper-Kähler structure. The deformation moduli space of this family of noncommutative K3 surfaces turns out to be of dimension 57, which is three times that of complex deformations of algebraic K3 surfaces.

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