Special Kahler Metrics on Complex Line Bundles and the Geometry of $K3$-Surfaces

Details Special Kahler Metrics on Complex Line Bundles and the Geometry of $K3$-Surfaces Special Kahler Metrics on Complex Line Bundles and the Geometry of $K3$-Surfaces

2008-04-11

arxiv.org/abs/0804.1858v1

Siberian Mathematical Journal 46 (2005), N.6, P.995-1004

Mathematics

Differential Geometry

14 pages

Scientific paper

We construct metrics with the holonomy group SU(2) on the tangent bundles of
weighted complex projective lines and give a geometric description of the
moduli space of special Kahler metrics on a K3-surface in the neighborhood of
the flat orbifold $T^4/Z_3$.

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