On isolated smooth curves of low genera in Calabi-Yau complete intersection threefolds

DOI10.1090/S0002-9947-2012-05461-4zbMath1330.14014arXiv1009.4419MaRDI QIDQ2841401

Andreas Leopold Knutsen

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4419

zbMATH Keywords

singularitiesdeformationsCalabi-Yau threefoldsHilbert schemesisolated curves

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) (K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Divisors, linear systems, invertible sheaves (14C20) Formal methods and deformations in algebraic geometry (14D15)

Related Items (5)

ACM bundles, quintic threefolds and counting problems ⋮ Deformation of quintic threefolds to the chordal variety ⋮ Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds ⋮ Rational curves in CICYs in products of two projective spaces ⋮ A remark on the intersection of plane curves

Cites Work

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• SMOOTH, ISOLATED CURVES IN FAMILIES OF CALABI-YAU THREEFOLDS IN HOMOGENEOUS SPACES
• On degrees and genera of curves on smooth quartic surfaces in P³
• Projective Models of K - 3 Surfaces
• Two remarks on Calabi-Yau Moishezon treefolds.
• Smooth Curves on Projective $K3$ Surfaces

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