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Paramodular Abelian Varieties of Odd Con...

Brumer, Armand...

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Paramodular Abelian Varieties of Odd Conductor by Brumer, Armand ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-07-2023
Summary	A precise and testable modularity conjecture for rational abelian surfaces A with trivial endomorphisms, End_Q A = Z, is presented. It is consistent with our examples, our non-existence results and recent work of C. Poor and D. S. Yuen on weight 2 Siegel paramodular forms. We obtain fairly precise information on ell-division fields of semistable abelian varieties A, mainly when A[ell] is reducible, by considering extension problems for groups schemes of small rank. Our general results imply, for instance, that the least prime conductor of an abelian surface is 277.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1004.4699

Citation

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AMA 11th EditionReferences

Brumer, Armand. Paramodular Abelian Varieties of Odd Conductor. N.A. July 31, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/2443

APA 7th EditionReferences

Brumer, Armand. (2023). Paramodular Abelian Varieties of Odd Conductor. N.A. https://online.provdatabase.com/cite/2443

Chicago 17th EditionReferences

Brumer, Armand. Paramodular Abelian Varieties of Odd Conductor. N.A. 2023. https://online.provdatabase.com/cite/2443

HarvardReferences

Brumer, Armand. (2023). Paramodular Abelian Varieties of Odd Conductor. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2443. (Accessed 20 September 2024).

Harvard AustraliaReferences

Brumer, Armand, 2023, Paramodular Abelian Varieties of Odd Conductor, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/2443>

MLA 9th EditionWorks Cited

Brumer, Armand. Paramodular Abelian Varieties of Odd Conductor. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/2443.

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