Madani, Farid and Nisse, Mounir (2015) Analytic varieties with finite volume amoebas are algebraic. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 706. pp. 67-81. ISSN 0075-4102, 1435-5345
Full text not available from this repository. (Request a copy)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-dimensional affine linear spaces are also given.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LIMIT-SET; GEOMETRY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Jun 2019 13:45 |
| Last Modified: | 12 Jun 2019 13:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4933 |
Actions (login required)
 |
View Item |
