Counting curves which move with threefolds
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/9807109,
title = {Counting curves which move with threefolds},
author = {Herbert Clemens and Holger P. Kley},
journal= {arXiv preprint arXiv:math/9807109},
year = {2007}
}
备注
25 pages, LaTeX2e. Several minor corrections and clairifications; theorem 3.3. slighlty strengthened; references updated