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

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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Veröffentlicht in:arXiv.org 2008-04
1. Verfasser: Bazaikin, Yaroslav V
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \(T^4/Z_3\).
ISSN:2331-8422