Feynman quadrics-motive of the massive sunset graph

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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1016/j.jnt.2018.06.001	DOI	Article
https://arxiv.org/abs/1705.10307	arXiv	Discussion Paper

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.

Funders:

Funding Agency	Grant Number
NSF	DMS-1707882
Natural Sciences and Engineering Research Council of Canada (NSERC)	RGPIN-2018-04937
Natural Sciences and Engineering Research Council of Canada (NSERC)	RGPAS-2018-522593
NSF	DMS-1350472
Fundação para a Ciência e a Tecnologia (FCT)	UID/MAT/00297/2013

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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