English

Non-uniformly flat affine algebraic hypersurfaces

Complex Variables 2018-10-03 v1

Abstract

The relationship between interpolation and separation properties of hypersurfaces in Bargmann-Fock spaces over Cn\mathbb{C} ^n is not well-understood except for n=1n=1. We present four examples of smooth affine algebraic hypersurfaces that are not uniformly flat, and show that exactly two of them are interpolating.

Keywords

Cite

@article{arxiv.1810.00895,
  title  = {Non-uniformly flat affine algebraic hypersurfaces},
  author = {Vamsi Pingali and Dror Varolin},
  journal= {arXiv preprint arXiv:1810.00895},
  year   = {2018}
}
R2 v1 2026-06-23T04:24:52.951Z