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On smooth isolated curves in general complete intersection Calabi-Yau threefolds

Xun Yu

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Abstract

This dissertation studies existence/non-existence of smooth and isolated curves in general complete intersection Calabi-Yau (CICY) threefolds.There are three parts.In the first part, we use Knutsen's technique to prove some existence results on smooth isolated curves in general CICY threefolds.Recently Knutsen found criteria

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This dissertation studies existence/non-existence of smooth and isolated curves in general complete intersection Calabi-Yau (CICY) threefolds.There are three parts.In the first part, we use Knutsen's technique to prove some existence results on smooth isolated curves in general CICY threefolds.Recently Knutsen found criteria

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Available abstract

This dissertation studies existence/non-existence of smooth and isolated curves in general complete intersection Calabi-Yau (CICY) threefolds.There are three parts.In the first part, we use Knutsen's technique to prove some existence results on smooth isolated curves in general CICY threefolds.Recently Knutsen found criteria

Key concepts: Calabi–Yau manifold, Intersection (aeronautics), Complete intersection, Mathematics, Set (abstract data type), Surface (topology), Pure mathematics, Scheme (mathematics)

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