arXiv
Open Access
2022
Regular and rigid curves on some Calabi-Yau and general-type complete intersections
Ziv Ran
Abstrak
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 degrees. If $n=3$ or $g=1$, we construct rigid curves of genus $g$ on $X$ of all high enough degrees. As an application we construct some rigid bundles on Calabi-Yau threefolds. In addition, we construct some low-degree balanced rational curves on hypersurfaces of degree $n + 2$ in $\mathbb P^n$.
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Ziv Ran
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
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- en
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- arXiv
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- Open Access ✓