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A Mehta-Ramanathan theorem for linear sy...

Graf, Patrick...

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A Mehta-Ramanathan theorem for linear systems with basepoints by Graf, Patrick ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	17-01-2015
Summary	Let (X,H) be a normal complex projective polarized variety and E an H-semistable sheaf on X. We prove that the restriction E∣∣C to a sufficiently positive general complete intersection curve C⊂X passing through a prescribed finite set of points S⊂X remains semistable, provided that at each p∈S, the variety X is smooth and the factors of a Jordan-Hölder filtration of E are locally free. As an application, we obtain a generalization of Miyaoka's generic semipositivity theorem.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.04210

Citation

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AMA 11th EditionReferences

Graf, Patrick. A Mehta-Ramanathan theorem for linear systems with basepoints. N.A. January 17, 2015. Accessed October 03, 2025. https://online.provdatabase.com/cite/18284

APA 7th EditionReferences

Graf, Patrick. (2015). A Mehta-Ramanathan theorem for linear systems with basepoints. N.A. https://online.provdatabase.com/cite/18284

Chicago 17th EditionReferences

Graf, Patrick. A Mehta-Ramanathan theorem for linear systems with basepoints. N.A. 2015. https://online.provdatabase.com/cite/18284

HarvardReferences

Graf, Patrick. (2015). A Mehta-Ramanathan theorem for linear systems with basepoints. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18284. (Accessed 03 October 2025).

Harvard AustraliaReferences

Graf, Patrick, 2015, A Mehta-Ramanathan theorem for linear systems with basepoints, N.A, viewed 03 October 2025, <https://online.provdatabase.com/cite/18284>

MLA 9th EditionWorks Cited

Graf, Patrick. A Mehta-Ramanathan theorem for linear systems with basepoints. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18284.

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