Theorems A and B for dagger quasi-Stein spaces
Algebraic Geometry
2016-02-16 v1
Abstract
In this article we use the homological methods of the theory of quasi-abelian categories and some results from functional analysis to prove Theorems A and B for (a broad sub-class of) dagger quasi-Stein spaces. In particular we show how to deduce these theorems from the vanishing, under certain hypothesis, of the higher derived functors of the projective limit functor. Our strategy of the proof generalizes and puts in a more formal framework the Kiehl's proof for rigid quasi-Stein spaces.
Cite
@article{arxiv.1602.04388,
title = {Theorems A and B for dagger quasi-Stein spaces},
author = {Federico Bambozzi},
journal= {arXiv preprint arXiv:1602.04388},
year = {2016}
}