Degenerations of irrational toric varieties.pdf (298.66 kB)
Degenerations of real irrational toric varieties
journal contribution
posted on 2017-06-02, 12:16 authored by Elisa Postinghel, Frank Sottile, Nelly Villamizar© 2015 London Mathematical Society.A real irrational toric variety X is an analytic subset of the simplex associated to a finite configuration of real vectors. The positive torus acts on X by translation, and we consider limits of sequences of these translations. Our main result identifies all possible Hausdorff limits of translations of X as toric degenerations using elementary methods and the geometry of the secondary fan of the vector configuration. This generalizes work of García-Puente et al., who used algebraic geometry and work of Kapranov, Sturmfels and Zelevinsky, when the vectors were integral.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of the London Mathematical SocietyVolume
92Issue
2Pages
223 - 241Citation
POSTINGHEL, E., SOTTILE, F. and VILLAMIZAR, N., 2015. Degenerations of real irrational toric varieties. Journal of the London Mathematical Society, 92(2), pp. 223-241.Publisher
© The London Mathematical Society. Published by WileyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015-08-04Notes
This is the peer reviewed version of the following article: POSTINGHEL, E., SOTTILE, F. and VILLAMIZAR, N., 2015. Degenerations of real irrational toric varieties. Journal of the London Mathematical Society, 92(2), pp. 223-241., which has been published in final form at http://dx.doi.org/10.1112/jlms/jdv024. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.ISSN
0024-6107eISSN
1469-7750Publisher version
Language
- en