Notes on derived algebraic geometry
Algebraic Geometry
2022-08-03 v1
Abstract
These are notes on derived algebraic geometry in the context of animated rings. More precisely, we recall the proof of To\"en-Vaqui\'e that the derived stack of perfect complexes is locally geometric in the language of -categories. Along the way, we recall the necessary notions in derived commutative algebra and derived algebraic geometry. We also analyze the deformation theory and quasi-coherent modules over derived stacks.
Cite
@article{arxiv.2208.01506,
title = {Notes on derived algebraic geometry},
author = {Can Yaylali},
journal= {arXiv preprint arXiv:2208.01506},
year = {2022}
}
Comments
This is a first version and an extract of the authors PhD-thesis. In the future, we want to extend these notes. Comments are welcome !