Deutsch
Madani, Farid and Nisse, Mounir (2012) Analytic varieties with finite volume amoebas are algebraic. Preprintreihe der Fakultät Mathematik 4/2012, Working Paper.
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Abstract
In this paper, we study the amoeba volume of a given
k-dimensional generic analytic variety V of the complex algebraic torus
(C�)n. When n � 2k, we show that V is algebraic if and only if the
volume of its amoeba is finite. Moreover, in this case, we establish a
comparison theorem for the volume of the amoeba and the coamoeba.
Examples and applications to the k-linear spaces will be given.
| Item Type: | Monograph (Working Paper) | ||||||
|---|---|---|---|---|---|---|---|
| Institutions: | Mathematics > Prof. Dr. Bernd Ammann | ||||||
| Classification: |
| ||||||
| Keywords: | Analytic varieties, algebraic varieties, amoebas, coamoebas, logarithmic limit sets, phase limit sets, spherical polyhedrons | ||||||
| Subjects: | 500 Science > 510 Mathematics | ||||||
| Status: | Unknown | ||||||
| Refereed: | No, this version has not been refereed yet (as with preprints) | ||||||
| Created at the University of Regensburg: | Yes | ||||||
| Owner: | Universitätsbibliothek Regensburg | ||||||
| Deposited On: | 07 Feb 2012 10:49 | ||||||
| Last Modified: | 07 Feb 2012 10:49 | ||||||
| Item ID: | 23411 |
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