Cartan Theorems for Stein manifolds over a discrete valuation base
Jari Taskinen, Kari Vilonen
TL;DR
This paper extends classical Cartan theorems to Stein manifolds defined over specific discrete valuation rings, broadening the scope of complex analytic geometry in algebraic settings.
Contribution
It proves Cartan theorems A and B for Stein manifolds over discrete valuation rings, a novel generalization beyond traditional complex analysis.
Findings
Cartan theorems A and B are valid over certain discrete valuation rings.
The results generalize classical theorems to algebraic settings.
Establishes foundational properties for Stein manifolds in this new context.
Abstract
In this paper we prove Cartan theorems A and B for Stein manifolds over certain discrete valuation rings.
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