Title: Secant degree of toric surfaces and delightful planar toric degenerations
Authors: Postinghel, Elisa # ×
Issue Date: 2013
Publisher: De Gruyter
Series Title: Advances in Geometry vol:13 issue:2 pages: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.
ISSN: 1615-715X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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