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Download fileFaithful tropicalisation and torus actions
journal contribution
posted on 2016-11-07, 10:43 authored by Jan Draisma, Elisa Postinghel© 2015, The Author(s).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 × 3-minors, and for the hypersurface defined by Cayley’s hyperdeterminant.
History
School
- Science
Department
- Mathematical Sciences
Published in
Manuscripta MathematicaVolume
149Issue
3-4Pages
315 - 338Citation
DRAISMA, J. and POSTINGHEL, E., 2016. Faithful tropicalisation and torus actions. Manuscripta Mathematica, 149(3-4), pp. 315-338.Publisher
© The Authors. Published by Springer.Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/Publication date
2015-08-27Notes
This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/ISSN
0025-2611Publisher version
Language
- en