科研之友
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摘要
This paper deals with the coamoebas,that is images of algebraic varieties under coornatewise argument mappings. We focus on the case of A-discriminant varieties where A subset of Z(n) has cardinality n + 3 and satisfies a natural genericity hypothesis. We give a very explicit description of the coamoeba as the union of two mirror images of a (possible non-convex) polygon,easily constructed from the Gale transform of A. We also give an area formula for the coamoeba, showing that the coamoeba is intimately related to a certain zonotope. In particular, we show how the coamoeba and this zonotype together yield a covering of the torus with multiplicity equal to the volume of the convex hull of A.
- 出版日期2010
