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Secant degree of toric surfaces and delightful planar toric degenerations
journal contribution
posted on 2017-06-02, 12:49 authored by Elisa PostinghelThe k-secant degree is studied with a combinatorial approach. A planar toric degeneration of any projective toric surface X corresponds to a regular unimodular triangulation D of the polytope defining X. If the secant ideal of the initial ideal of X with respect to D coincides with the initial ideal of the secant ideal of X, then D is said to be delightful and the k-secant degree of X is easily computed. We establish a lower bound for the 2- and 3-secant degree, by means of the combinatorial geometry of non-delightful triangulations. © de Gruyter 2013.
History
School
- Science
Department
- Mathematical Sciences
Published in
Advances in GeometryVolume
13Issue
2Pages
211 - 228Citation
POSTINGHEL, E., 2013. Secant degree of toric surfaces and delightful planar toric degenerations. Advances in Geometry, 13(2), pp. 211-228.Publisher
© de Gruyter 2013Version
- VoR (Version of Record)
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
2013Notes
This paper was published in the journal Advances in Geometry and the definitive published version is available at http://dx.doi.org/10.1515/advgeom-2012-0023ISSN
1615-715XPublisher version
Language
- en