Draisma, Jan; Postinghel, Elisa (2016). Faithful tropicalisation and torus actions. Manuscripta mathematica, 149(3-4), pp. 315-338. Springer 10.1007/s00229-015-0781-3
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1404.4715.pdf - Accepted Version Available under License Creative Commons: Attribution (CC-BY). Download (492kB) | Preview |
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Faithful tropicalisation and torus actions.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (581kB) | Preview |
For any affine variety equipped with coordinates, there is a surjective, continuous map from its Berkovich space to its tropicalisation. Exploiting torus actions, we develop techniques for finding an explicit, continuous section of this map. In particular, we prove that such a section exists for linear spaces, Grassmannians of planes (reproving a result due to Cueto, Häbich, and Werner), matrix varieties defined by the vanishing of 3 X 3 minors, and for the hypersurface defined by Cayley's hyperdeterminant.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Draisma, Jan |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-2611 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
31 Jul 2017 15:06 |
Last Modified: |
05 Dec 2022 15:05 |
Publisher DOI: |
10.1007/s00229-015-0781-3 |
ArXiv ID: |
1404.4715v3 |
BORIS DOI: |
10.7892/boris.99759 |
URI: |
https://boris.unibe.ch/id/eprint/99759 |
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