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arXiv · 1812.01929

Rational curves on complete intersection Calabi-Yau 3-folds

B. Wang
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Abstract

We prove the following results. If $X_3$ is a generic complete intersection Calabi-Yau 3-fold, (1) then for each natural number $d$ there exists a rational map \par\hspace{1 cc} $c\in Hom_{bir}(\mathbf P^1, X_3)$ of $deg(c(\mathbf P^1))=d$, (2) further more all such $c$ are immersions satisfying \begin{equation} N_{c(\mathbf P^1)/ X_3}\simeq \mathcal O_{\mathbf P^1}(-1)\oplus \mathcal O_{\mathbf P^1}(-1).

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B. Wang. 2018-12-05. Rational curves on complete intersection Calabi-Yau 3-folds. https://arxiv.org/abs/1812.01929

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