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

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Abstract

We construct metrics with the holonomy group SU(2) on the tangent bundles of weighted complex projective lines. We give a geometric description of a neighborhood of the moduli space of special Kahler metrics on a K3-surface.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Ya. V. Bazaikin

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  1. Ya. V. Bazaikin
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Original Russian Text Copyright © 2005 Bazaikin Ya. V.

The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00403), the RAS Program “Mathematical Methods in Nonlinear Dynamics,” and the Program “Development of the Scientific Potential of Higher School” of the Ministry for Education of the Russian Federation (Grant 8311).

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1235–1247, November–December, 2005.

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Bazaikin, Y.V. Special Kahler Metrics on Complex Line Bundles and the Geometry of K3-Surfaces. Sib Math J 46, 995–1004 (2005). https://doi.org/10.1007/s11202-005-0095-x

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  • DOI: https://doi.org/10.1007/s11202-005-0095-x

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