arXiv:2207.01096 [math.AG]AbstractReferencesReviewsResources
Balanced rational curves and rigid curves of all genera on some Calabi-Yau complete intersections
Published 2022-07-03Version 1
Let $X$ be either a general hypersurface of degree $n+1$ in $\mathbb P^n$ or a general $(2,n)$ complete intersection in $\mathbb P^{n+1}, n\geq 4$. We construct balanced rational curves on $X$ of all high enough even degrees. If $n=3$ or $g=1$, we construct rigid curves of genus $g$ on $X$ of all high enough even degrees. As an application we construct some rigid bundles on Calabi-Yau threefolds.
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