3 papers
math.AG2000
New recursions for genus-zero Gromov-Witten invariants
Aaron Bertram, Holger P. Kley
New relations among the genus-zero Gromov-Witten invariants of a complex projective manifold are exhibited. When the cohomology of is generated by divisor classes and class…
math.AG1998
On the existence of curves in K-trivial threefolds
Holger P. Kley
We give a criterion for a continuous family of curves on a nodal -trivial threefold to contribute geometrically rigid curves to a general smoothing of . As an applica…
math.AG1998
Counting curves which move with threefolds
Herbert Clemens, Holger P. Kley
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 unobstruct…