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Title: Secant degree of toric surfaces and delightful planar toric degenerations
Authors: Postinghel, Elisa
Keywords: Toric varieties
Secant varieties
Degenerations
Polytopes
Delightful triangulations
Issue Date: 2013
Publisher: © de Gruyter 2013
Citation: POSTINGHEL, E., 2013. Secant degree of toric surfaces and delightful planar toric degenerations. Advances in Geometry, 13(2), pp. 211-228.
Abstract: The 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.
Description: 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-2012-0023
Version: Published
DOI: 10.1515/advgeom-2012-0023
URI: https://dspace.lboro.ac.uk/2134/25237
Publisher Link: http://dx.doi.org/10.1515/advgeom-2012-0023
ISSN: 1615-715X
Appears in Collections:Published Articles (Maths)

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