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Rational curves on hypersurfaces of a pr...

Wang, Bin...

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Rational curves on hypersurfaces of a projective variety by Wang, Bin ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	In this paper, we extend our result in [3] to hypersurfaces of any smooth projective variety $Y$. Precisely we let $X_0$ be a generic hypersurface of $Y$ and $c_0:\mathbf P^1\to X_0$ be a generic birational morphism to its image, i.e. $c_0\in Hom_{bir}(\mathbf P^1, X_0)$ is generic, such that (1) $dim(X_0)\geq 3$, (2) $H^1( N_{c_0/Y})=0$. Then \begin{equation} H^1(N_{c_0/X_0})=0. \end{equation} As an application we prove that the Clemens' conjecture holds for Calabi-Yau complete intersections of dimension 3.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.5578

Citation

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AMA 11th EditionReferences

Wang, Bin. Rational curves on hypersurfaces of a projective variety. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23899

APA 7th EditionReferences

Wang, Bin. (2023). Rational curves on hypersurfaces of a projective variety. Australian National University. https://online.provdatabase.com/cite/23899

Chicago 17th EditionReferences

Wang, Bin. Rational curves on hypersurfaces of a projective variety. Australian National University. 2023. https://online.provdatabase.com/cite/23899

HarvardReferences

Wang, Bin. (2023). Rational curves on hypersurfaces of a projective variety. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23899. (Accessed 20 September 2024).

Harvard AustraliaReferences

Wang, Bin, 2023, Rational curves on hypersurfaces of a projective variety, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23899>

MLA 9th EditionWorks Cited

Wang, Bin. Rational curves on hypersurfaces of a projective variety. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23899.

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