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An effective restriction theorem via wal...

Feyzbakhsh, Soheyla...

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An effective restriction theorem via wall-crossing and Mercat's conjecture by Feyzbakhsh, Soheyla ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	We prove an effective restriction theorem for stable vector bundles $E$ on a smooth projective variety: $E\|_D$ is (semi)stable for all irreducible divisors $D \in \|kH\|$ for all $k$ greater than an explicit constant. As an application, we show that Mercat's conjecture in any rank greater than $2$ fails for curves lying on K3 surfaces. Our technique is to use wall-crossing with respect to (weak) Bridgeland stability conditions which we also use to reprove Camere's result on slope stability of the tangent bundle of $\mathbb{P}^n$ restricted to a K3 surface.
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/1608.07825

Citation

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AMA 11th EditionReferences

Feyzbakhsh, Soheyla. An effective restriction theorem via wall-crossing and Mercat's conjecture. Australian National University. August 09, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/13957

APA 7th EditionReferences

Feyzbakhsh, Soheyla. (2023). An effective restriction theorem via wall-crossing and Mercat's conjecture. Australian National University. https://online.provdatabase.com/cite/13957

Chicago 17th EditionReferences

Feyzbakhsh, Soheyla. An effective restriction theorem via wall-crossing and Mercat's conjecture. Australian National University. 2023. https://online.provdatabase.com/cite/13957

HarvardReferences

Feyzbakhsh, Soheyla. (2023). An effective restriction theorem via wall-crossing and Mercat's conjecture. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13957. (Accessed 01 October 2025).

Harvard AustraliaReferences

Feyzbakhsh, Soheyla, 2023, An effective restriction theorem via wall-crossing and Mercat's conjecture, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/13957>

MLA 9th EditionWorks Cited

Feyzbakhsh, Soheyla. An effective restriction theorem via wall-crossing and Mercat's conjecture. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13957.

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