Algebraic Overshear Density Property
Abstract
We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion of the density property. We investigate basic consequences of this stronger property, and propose further research directions in this borderland between affine algebraic geometry and elliptic holomorphic geometry. As an application, we show that any smoothly bordered Riemann surface with finitely many boundary components that is embedded in a complex affine surface with the algebraic overshear density property admits a proper holomorphic embedding.
Cite
@article{arxiv.1906.04131,
title = {Algebraic Overshear Density Property},
author = {Rafael B. Andrist and Frank Kutzschebauch},
journal= {arXiv preprint arXiv:1906.04131},
year = {2023}
}
Comments
23 pages; updated article includes an application regarding bordered Riemann surfaces and the overshear density property for algebraic vector bundles over a flexible base