تقرير
A new generalization of the Lelong number
| العنوان: | A new generalization of the Lelong number |
|---|---|
| المؤلفون: | Lagerberg, Aron |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, 32S05, 32U05, 32U25 |
| الوصف: | We introduce a quantity which measures the singularity of a plurisubharmonic function f relative to another plurisubharmonic function g, at a point a. This quantity, which we denote by $\nu_{a,g}(f)$, can be seen as a generalization of the classical Lelong number, in a natural way. The main theorem of this article says that the upper level sets of our generalized Lelong number, i.e. the sets of the form $\{z: \nu_{z,g}(f) \geq c > 0 \}$, are in fact analytic sets, under certain conditions on the weight g. Comment: 29 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1001.3562 |
| رقم الأكسشن: | edsarx.1001.3562 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |