On the existence of curves in K-trivial threefolds

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dc.creatorKley, Holger P.
dc.date1998-11-17
dc.date.accessioned2026-07-07T05:26:53Z
dc.date.available2026-07-07T05:26:53Z
dc.descriptionWe 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.
dc.description8 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9811099
dc.identifierhttp://arxiv.org/abs/math/9811099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77723
dc.subjectAlgebraic Geometry
dc.subject14C05, 14J32 (Primary); 14C25, 14J28 (Secondary
dc.titleOn the existence of curves in K-trivial threefolds
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