Published February 2019
| Version Submitted
Journal Article
Open
Feynman quadrics-motive of the massive sunset graph
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1.
California Institute of Technology
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2.
University of Toronto
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3.
Perimeter Institute
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4.
Massachusetts Institute of Technology
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5.
University of Coimbra
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.
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.Attached Files
Submitted - 1705.10307.pdf
Files
1705.10307.pdf
Additional details
Identifiers
- Eprint ID
- 78987
- DOI
- 10.1016/j.jnt.2018.06.001
- Resolver ID
- CaltechAUTHORS:20170712-083350725
Related works
- Describes
- https://arxiv.org/abs/1705.10307 (URL)
Funding
- 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
Dates
- Created
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2017-07-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department