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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 2012
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Degenerations of toric ideals and toric varieties

Authors: Zhu, Chun-Gang;

Degenerations of toric ideals and toric varieties

Abstract

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.

Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
hybrid