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.

Secant degree of toric surfaces and delightful planar toric degenerations / Postinghel, E.. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 13:2(2013), pp. 211-228. [10.1515/advgeom-2012-0023]

Secant degree of toric surfaces and delightful planar toric degenerations

Postinghel E.
2013-01-01

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.
2013
2
Postinghel, E.
Secant degree of toric surfaces and delightful planar toric degenerations / Postinghel, E.. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 13:2(2013), pp. 211-228. [10.1515/advgeom-2012-0023]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/274821
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