TL;DR
This paper advances the understanding of algebraic spaces by identifying specific colimits and establishing new Tannaka duality theorems for maps between algebraic spaces.
Contribution
It introduces novel Tannaka duality theorems and characterizes certain colimits of schemes and algebraic spaces, enriching the theoretical framework.
Findings
New Tannaka duality theorems for algebraic space maps
Characterization of naturally occurring colimits of schemes
Enhanced understanding of algebraic space structures
Abstract
Our goal in this paper is to identify certain naturally occurring colimits of schemes and algebraic spaces. To do so, we use (and prove) some new Tannaka duality theorems for maps of algebraic spaces.
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