منابع مشابه
Chow Groups of Weighted Hypersurfaces
We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.
متن کاملKrull - Tropical Hypersurfaces
The concepts of tropical semiring and tropical hypersurface, are extended to the case of an arbitrary ordered group. Then, we define the tropicalization of a polynomial with coefficients in a Krull-valued field. After a close study of the properties of the operator “tropicalization” we conclude with an extension of Kapranov’s theorem to algebraically closed fields together with a valuation over...
متن کاملSingular Tropical Hypersurfaces
We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular points. We also describe non-transversal intersection points of planar tropical curves.
متن کاملComplex Tropical Localization, Coamoebas, and Mirror Tropical Hypersurfaces
We introduce in this paper the concept of tropical mirror hypersurfaces and we prove a complex tropical localization Theorem which is a version of Kapranov's Theorem [K-00] in tropical geometry. We give a geometric and a topological equivalence between coamoebas of complex algebraic hypersurfaces de ned by a maximally sparse polynomial and coamoebas of maximally sparse complex tropical hypersur...
متن کاملIntersection multiplicity numbers between tropical hypersurfaces
We present several formulas for the intersection multiplicity numbers considered in [3]. These numbers are associated to any dimensional cell of the common intersection of the tropical hypersurfaces. The first formula involves a sum of generalized mixed volumes, and turns out to be equal to the absolute value of the Euler characteristic of some complex toric complete intersection. Another formu...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2017
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnx260