1998/07/20 by Herbert Clemens, Clemens, Herbert, Holger P. Kley +1
Computer Science · Mathematics · #14C05 #14D15 #14F10 (Secondary) #14H10 #14J32 #14N10 (Primary) 14C17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:14C05 #msc:14C17 #msc:14D15 #msc:14F10 #msc:14H10 #msc:14J32 #msc:14N10
paper · pdf · doi:10.48550/arxiv.math/9807109
25 pages, LaTeX2e. Several minor corrections and clairifications; theorem 3.3. slighlty strengthened; references updated
openalex publication_date 1998/07/20 · arxiv created 1998/11/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.