Green functions with singularities along complex spaces
复变函数
2016-09-07 v1
摘要
We study properties of a Green function G_A with singularities along a complex subspace A of a complex manifold X. It is defined as the largest negative plurisubharmonic function u satisfying locally u\leq \log|\psi|+C, where \psi=(\psi_1, ...,\psi_m), \psi_1, ...,\psi_m are local generators for the ideal sheaf I_A of A, and C is a constant depending on the function u and the generators. A motivation for this study is to estimate global bounded functions from the sheaf I_A and thus proving a ``Schwarz Lemma'' for I_A.
引用
@article{arxiv.math/0408407,
title = {Green functions with singularities along complex spaces},
author = {A. Rashkovskii and R. Sigurdsson},
journal= {arXiv preprint arXiv:math/0408407},
year = {2016}
}
备注
22 pages