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A special case of the Buchsbaum-Eisenbud...

Erman, Daniel...

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A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture by Erman, Daniel ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-02-2009
Summary	The Buchsbaum-Eisenbud-Horrocks rank conjecture proposes lower bounds for the Betti numbers of a graded module M based on the codimension of M. We prove a special case of this conjecture via Boij-Soederberg theory. More specifically, we show that the conjecture holds for graded modules where the regularity of M is small relative to the minimal degree of a first syzygy of M. Our approach also yields an asymptotic lower bound for the Betti numbers of powers of an ideal generated in a single degree.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0902.0316

Citation

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AMA 11th EditionReferences

Erman, Daniel. A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture. N.A. February 01, 2009. Accessed November 08, 2024. https://online.provdatabase.com/cite/2294

APA 7th EditionReferences

Erman, Daniel. (2009). A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture. N.A. https://online.provdatabase.com/cite/2294

Chicago 17th EditionReferences

Erman, Daniel. A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture. N.A. 2009. https://online.provdatabase.com/cite/2294

HarvardReferences

Erman, Daniel. (2009). A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2294. (Accessed 08 November 2024).

Harvard AustraliaReferences

Erman, Daniel, 2009, A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture, N.A, viewed 08 November 2024, <https://online.provdatabase.com/cite/2294>

MLA 9th EditionWorks Cited

Erman, Daniel. A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture. N.A, 2009. PROV Database, https://online.provdatabase.com/cite/2294.

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