Degenerations of toric ideals and toric varieties (Q643562)

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scientific article; zbMATH DE number 5966287
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Degenerations of toric ideals and toric varieties
scientific article; zbMATH DE number 5966287

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    Degenerations of toric ideals and toric varieties (English)
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    2 November 2011
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    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.
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    toric varieties
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    toric ideals
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    degenerations
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    regular subdivisions
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