Marcolli, Matilde and Tabuada, Gonçalo (2019) Feynman quadrics-motive of the massive sunset graph. Journal of Number Theory, 195 . pp. 159-183. ISSN 0022-314X. doi:10.1016/j.jnt.2018.06.001. https://resolver.caltech.edu/CaltechAUTHORS:20170712-083350725
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Abstract
We prove that the Feynman quadrics-motive of the massive sunset graph is "generically" not mixed-Tate. Moreover, we explicitly describe its "extra" complexity in terms of a Prym variety.
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Additional Information: | © 2018 Elsevier Inc. Received 3 June 2017, Revised 18 December 2017, Accepted 19 June 2018, Available online 23 July 2018. Matilde Marcolli was supported by the NSF grant DMS-1707882 and NSERC grants RGPIN-2018-04937 and RGPAS-2018-522593. Gonçalo Tabuada was supported by the NSF CAREER Award #1350472 and by the Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2013 (Centro de Matemética e Aplicações). The authors are grateful to the anonymous referee for his/her comments. | ||||||||||||
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Subject Keywords: | Feynman integral; Motive; Period; Quadric; Prym variety | ||||||||||||
Classification Code: | 2010 Mathematics Subject Classification: 14C15; 14H40; 81Q30; 81T18 | ||||||||||||
DOI: | 10.1016/j.jnt.2018.06.001 | ||||||||||||
Record Number: | CaltechAUTHORS:20170712-083350725 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170712-083350725 | ||||||||||||
Official Citation: | Matilde Marcolli, Gonçalo Tabuada, Feynman quadrics-motive of the massive sunset graph, Journal of Number Theory, Volume 195, 2019, Pages 159-183, ISSN 0022-314X, https://doi.org/10.1016/j.jnt.2018.06.001. (http://www.sciencedirect.com/science/article/pii/S0022314X18301744) | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 78987 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 12 Jul 2017 18:00 | ||||||||||||
Last Modified: | 15 Nov 2021 17:44 |
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