Madani, Farid and Nisse, Mounir (2013) ON THE VOLUME OF COMPLEX AMOEBAS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141 (4). pp. 1113-1123. ISSN 0002-9939, 1088-6826
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The paper deals with amoebas of k-dimensional algebraic varieties in the complex algebraic torus of dimension n >= 2k. First, we show that the area of complex algebraic curve amoebas is finite. Moreover, we give an estimate of this area in the rational curve case in terms of the degree of the rational parametrization coordinates. We also show that the volume of the amoeba of a k-dimensional algebraic variety in (C*)(n), with n >= 2k, is finite.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRY; SET; Algebraic varieties; amoebas; logarithmic limit sets |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Apr 2020 06:59 |
| Last Modified: | 17 Apr 2020 07:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16843 |
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