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arxiv: math/0404537 · v2 · pith:RBGHG4TMnew · submitted 2004-04-29 · 🧮 math.SG · math.AG· math.DG

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

classification 🧮 math.SG math.AGmath.DG
keywords formulasurfacesclassesnon-primitiveyau-zaslowcomputedegenerationelliptic
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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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