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Stillman's Question for Exterior Algebra...

McCullough, Jason...

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Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules by McCullough, Jason ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	25-08-2023
Summary	Let K be a field of characteristic 0 and consider exterior algebras of finite dimensional K-vector spaces. In this short paper we exhibit principal quadric ideals in a family whose Castelnuovo-Mumford regularity is unbounded. This negatively answers the analogue of Stillman's Question for exterior algebras posed by I. Peeva. We show that these examples are dual to modules over polynomial rings that yield counterexamples to a conjecture of J. Herzog on the Betti numbers in the linear strand of syzygy modules.
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/1307.8162

Citation

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AMA 11th EditionReferences

McCullough, Jason. Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules. Australian National University. August 25, 2023. Accessed August 09, 2025. https://online.provdatabase.com/cite/21031

APA 7th EditionReferences

McCullough, Jason. (2023). Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules. Australian National University. https://online.provdatabase.com/cite/21031

Chicago 17th EditionReferences

McCullough, Jason. Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules. Australian National University. 2023. https://online.provdatabase.com/cite/21031

HarvardReferences

McCullough, Jason. (2023). Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/21031. (Accessed 09 August 2025).

Harvard AustraliaReferences

McCullough, Jason, 2023, Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules, Australian National University, viewed 09 August 2025, <https://online.provdatabase.com/cite/21031>

MLA 9th EditionWorks Cited

McCullough, Jason. Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/21031.

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