Weighted interpolation from certain singular affine hypersurfaces
Complex Variables
2014-08-27 v1 Algebraic Geometry
Differential Geometry
Abstract
We prove that square integrable holomorphic functions (with respect to a plurisubharmonic weight) can be extended in a square integrable manner from certain singular hypersurfaces (which include uniformly flat, normal crossing divisors) to entire functions in affine space. This provides evidence for a conjecture regarding the positivity of the curvature of the weight under consideration.
Cite
@article{arxiv.1408.6144,
title = {Weighted interpolation from certain singular affine hypersurfaces},
author = {Vamsi Pingali},
journal= {arXiv preprint arXiv:1408.6144},
year = {2014}
}
Comments
7 pages