Year: 2020
Type: preprint
Abstract: Let $X$ be a scheme and let $\mathcal{M}$ be a quasi-coherent sheaf on $X$. Then $\mathcal{M}$ can be viewed as a cogroup object in the category of schemes under $X$. We show that the category of first order thickenings of $X$ by $\mathcal{M}$ is equivalent to the category of $\mathcal{M}$-cotorsors.
Source: arXiv (Cornell University)
Author: Mertes, Nicholas
Institution: University of Miami
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3033371502