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

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 5, 2013, pp.1033-1050
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.5.1033

Title & Authors

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

Knutsen, Andreas Leopold;

Knutsen, Andreas Leopold;

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 , where . 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;

Language

English

Cited by

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