Counting curves which move with threefolds

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Let X be a (possibly nodal) K-trivial threefold moving in a fixed ambient space P. Suppose X contains a continuous family of curves, all of whose members satisfy certain unobstructedness conditions in P. A formula is given for computing the corresponding virtual number of curves, that is, the number of curves on a generic deformation of X "contributed by" the continuous family on X.
25 pages, LaTeX2e. Several minor corrections and clairifications; theorem 3.3. slighlty strengthened; references updated

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Algebraic Geometry, 14C05, 14H10, 14J32, 14N10 (Primary) 14C17, 14D15, 14F10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77183

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807109
 http://arxiv.org/abs/math/9807109

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arXiv