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http://dx.doi.org/10.4134/JKMS.2013.50.5.1033

SMOOTH, ISOLATED CURVES IN FAMILIES OF CALABI-YAU THREEFOLDS IN HOMOGENEOUS SPACES  

Knutsen, Andreas Leopold (Department of Mathematics University of Bergen)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1033-1050 More about this Journal
Abstract
We show the existence of smooth isolated curves of different degrees and genera in Calabi-Yau threefolds that are complete intersections in homogeneous spaces. Along the way, we classify all degrees and genera of smooth curves on BN general K3 surfaces of genus ${\mu}$, where $5{\leq}{\mu}{\leq}10$. By results of Mukai, these are the K3 surfaces that can be realised as complete intersections in certain homogeneous spaces.
Keywords
isolated curves; deformations; BN general K3 surfaces; Calabi-Yau threefolds;
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