Published July 13, 2017
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New perspectives in Arakelov geometry
- Creators
- Consani, Caterina
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Marcolli, Matilde
Abstract
In this survey, written for the proceedings of the VII meeting of the CNTA held in May 2002 in Montreal, we describe how Connes' theory of spectral triples provides a unified view, via noncommutative geometry, of the archimedean and the totally split degenerate fibers of an arithmetic surface.
Additional Information
This paper was partly written during visits of the second author to Florida State University and University of Toronto. We thank these institutions for the hospitality. The first author is partially supported by NSERC grant 72016789. The second author is partially supported by the Humboldt Foundation and the German Government (Sofja Kovalevskaya Award). We thank Alain Connes for many extremely helpful discussions.Attached Files
Submitted - 0210357.pdf
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Additional details
- Eprint ID
- 79056
- Resolver ID
- CaltechAUTHORS:20170713-075158422
- 72016789
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Alexander von Humboldt Foundation
- Created
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2017-07-13Created from EPrint's datestamp field
- Updated
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2023-06-01Created from EPrint's last_modified field