- Tytuł:
- Newton numbers and residual measures of plurisubharmonic functions
- Autorzy:
- Rashkovskii, Alexander
- Powiązania:
- https://bibliotekanauki.pl/articles/1207853.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Monge-Ampère operator
local indicator
directional Lelong number
plurisubharmonic function
Newton polyhedron - Opis:
- We study the masses charged by $(dd^cu)^n$ at isolated singularity points of plurisubharmonic functions u. This is done by means of the local indicators of plurisubharmonic functions introduced in [15]. As a consequence, bounds for the masses are obtained in terms of the directional Lelong numbers of u, and the notion of the Newton number for a holomorphic mapping is extended to arbitrary plurisubharmonic functions. We also describe the local indicator of u as the logarithmic tangent to u.
- Źródło:
-
Annales Polonici Mathematici; 2000, 75, 3; 213-231
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł