On the existence of curves in K-trivial threefolds

Holger P. Kley

On the existence of curves in K-trivial threefolds

Algebraic Geometry 2007-05-23 v1

Authors: Holger P. Kley

Abstract

We give a criterion for a continuous family of curves on a nodal $K$ -trivial threefold $X_0$ to contribute geometrically rigid curves to a general smoothing of $X_0$ . As an application, we prove the existence of geometrically rigid curves of arbitrary degree and explicitly bounded genus on general complete intersection Calabi-Yau threefolds.

Keywords

k-trivial threefolds geometrically rigid curves nodal curves calabi-yau threefolds smoothing curve existence

Cite

@article{arxiv.math/9811099,
  title  = {On the existence of curves in K-trivial threefolds},
  author = {Holger P. Kley},
  journal= {arXiv preprint arXiv:math/9811099},
  year   = {2007}
}

Comments

8 pages, LaTeX2e

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