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Counting curves which move with threefolds

Herbert Clemens·Holger P. Kley
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Abstract

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.

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Herbert Clemens, Holger P. Kley. 1998-11-03. Counting curves which move with threefolds. https://arxiv.org/abs/math/9807109

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