Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter March 29, 2013

Secant degree of toric surfaces and delightful planar toric degenerations

  • Elisa Postinghel EMAIL logo
From the journal


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.

The author was partially supported by Marie-Curie IT Network SAGA, [FP7/2007-2013] grant agreement PITN-GA-2008-214584.

Published Online: 2013-03-29
Published in Print: 2013-04

© 2013 by Walter de Gruyter GmbH & Co.

Downloaded on 24.3.2023 from
Scroll Up Arrow