Counting Elliptic Curves in K3 Surfaces

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dc.creatorLee, Junho
dc.creatorLeung, Naichung Conan
dc.date2004-05-03
dc.date.accessioned2026-07-07T05:07:54Z
dc.date.available2026-07-07T05:07:54Z
dc.descriptionWe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0405041
dc.identifierhttp://arxiv.org/abs/math/0405041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71046
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleCounting Elliptic Curves in K3 Surfaces
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