A note on linear stacks

Abstract

In this brief note, we investigate graded functions of linear stacks in derived geometry. In particular, we show that under mild assumptions, we can recover a quasi-coherent sheaf on a derived stack from the data of the ${\mathbb{G}}_m$-graded linear stack associated to it. Then we generalize this result in null caracteristic by describing graded functions on linear stacks.

Some details were added and the proof of Proposition 2.11 was corrected

References in corpus (1)

• Loop Spaces and Connections