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TitleTorical modification of Newton non-degenerate ideals.
Author(s) Fuensanta Aroca, Mirna Gomez-Morales, Khurram Shabbir
TypeArticle in Journal
AbstractWe give a definition of Newton non-degeneracy independent of the system of generators defining the variety. This definition extends the notion of Newton non-degeneracy to varieties that are not necessarily complete intersection. As in the previous definition of non-degeneracy for complete intersection varieties, it is shown that the varieties satisfying our definition can be resolved with a toric modification. Using tools of both toric and tropical geometry we describe the toric modification in terms of the Gröbner fan of the ideal defining the variety. The first part of the paper is devoted to introducing the classical concepts and the proof for the hypersurface case.
KeywordsNewton non-degenerate, Tropical geometry, Singularity
ISSN1578-7303; 1579-1505/e
URL http://link.springer.com/article/10.1007%2Fs13398-012-0100-8
JournalRev. R. Acad. Cienc. Exactas F
PublisherSpringer, Milan; Real Academia de Ciencias Exactas, F
Translation No
Refereed No