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Yau-Zaslow formula on K3 surfaces for non-primitive classes

Junho Lee, Naichung Conan Leung

math.SGarXiv:math/0404537

Abstract

We compute the genus zero family Gromov-Witten invariants for K3 surfaces using the topological recursion formula and the symplectic sum formula for a degeneration of elliptic K3 surfaces. In particular we verify the Yau-Zaslow formula for non-primitive classes of index two.

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