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Twists of genus three Jacobians

Meagher, Stephen...

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Twists of genus three Jacobians by Meagher, Stephen ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	07-08-2023
Summary	We give a criterion to distinguish between a genus three Jacobian and its [-1] twist in terms of the product of the 36 even theta nulls. We also express the product of the 36 theta nulls in terms of the discriminant of a genus three curve. The results are arithmetic in nature and thus add to previous work over C on the product of the even theta nulls. They generalize previous work of Ritzenthaler and Lachaud for Abelian threefolds which are (2,2,2) isogenous to a product of elliptic curves. This answers a 2003 of letter of Jean-Pierre Serre to Jaap Top.
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/0711.0415

Citation

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AMA 11th EditionReferences

Meagher, Stephen. Twists of genus three Jacobians. N.A. August 07, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/12349

APA 7th EditionReferences

Meagher, Stephen. (2023). Twists of genus three Jacobians. N.A. https://online.provdatabase.com/cite/12349

Chicago 17th EditionReferences

Meagher, Stephen. Twists of genus three Jacobians. N.A. 2023. https://online.provdatabase.com/cite/12349

HarvardReferences

Meagher, Stephen. (2023). Twists of genus three Jacobians. [Online]. N.A. Available from: https://online.provdatabase.com/cite/12349. (Accessed 02 October 2025).

Harvard AustraliaReferences

Meagher, Stephen, 2023, Twists of genus three Jacobians, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/12349>

MLA 9th EditionWorks Cited

Meagher, Stephen. Twists of genus three Jacobians. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/12349.

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