Published March 2014
| Version Submitted
Journal Article
Open
Endomotives of toric varieties
Abstract
We construct endomotives associated to toric varieties, in terms of the decomposition of a toric variety into torus orbits and the action of a semigroup of toric morphisms. We show that the endomotives can be endowed with time evolutions and we discuss the resulting quantum statistical mechanical systems. We show that in particular, one can construct a time evolution related to the logarithmic height function. We discuss relations to F_1-geometry.
Additional Information
© 2014 Elsevier B.V. Received 4 October 2013. Received in revised form 10 December 2013. Accepted 14 December 2013. Available online 21 December 2013. This paper is based on the results of the first author's summer research project, supported by a Summer Undergraduate Research Fellowship at Caltech. The second author acknowledges support from NSF grants DMS-0901221, DMS-1007207, DMS-1201512, and PHY-1205440.Attached Files
Submitted - 1309.4101v1.pdf
Files
1309.4101v1.pdf
Additional details
Identifiers
- Eprint ID
- 44582
- Resolver ID
- CaltechAUTHORS:20140401-134330780
Related works
- Describes
- https://arxiv.org/abs/1309.4101 (URL)
Funding
- Caltech Summer Undergraduate Research Fellowship (SURF)
- NSF
- DMS-0901221
- NSF
- DMS-1007207
- NSF
- DMS-1201512
- NSF
- PHY-1205440
Dates
- Created
-
2014-04-01Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department