Counting Elliptic Curves in K3 Surfaces

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We compute the genus one family Gromov-Witten invariants of K3 surfaces for non-primitive classes. These calculations verify Gottsche-Yau-Zaslow formula for non-primitive classes with index two. Our approach is to use the genus two topological recursion formula and the symplectic sum formula to establish relationships among various generating functions.
9 pages

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Symplectic Geometry, Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/71046

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405041
 http://arxiv.org/abs/math/0405041

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arXiv