On the existence of curves in K-trivial threefolds

Holger P. Kley

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On the existence of curves in K-trivial threefolds

Holger P. Kley

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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.

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BibTeX RIS

Holger P. Kley. 1998-11-17. On the existence of curves in K-trivial threefolds. https://arxiv.org/abs/math/9811099

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