Counting curves which move with threefolds

Details Counting curves which move with threefolds Counting curves which move with threefolds

1998-07-20

arxiv.org/abs/math/9807109v2

Mathematics

Algebraic Geometry

25 pages, LaTeX2e. Several minor corrections and clairifications; theorem 3.3. slighlty strengthened; references updated

Scientific paper

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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