
Motivated by both theoretical and applied importance, the paper establishes the correspondence between the degenerations of toric ideals and the degenerations of their toric varieties when the weight admits a regular subdivision. The main result generalizes to the complex case the author's previous result jointly obtained with L. Garcia-Puente and F. Sottile for the real non-negative part of the toric variety.
Applied Mathematics, Regular subdivision, Toric varieties, toric ideals, degenerations, Degenerations, Polynomial rings and ideals; rings of integer-valued polynomials, Toric ideals, regular subdivisions, Toric varieties, Newton polyhedra, Okounkov bodies, Analysis, toric varieties
Applied Mathematics, Regular subdivision, Toric varieties, toric ideals, degenerations, Degenerations, Polynomial rings and ideals; rings of integer-valued polynomials, Toric ideals, regular subdivisions, Toric varieties, Newton polyhedra, Okounkov bodies, Analysis, toric varieties
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