Geometric derived Hall algebra
Algebraic Geometry
2019-12-12 v1 Quantum Algebra
Abstract
We give a geometric formulation of To\"en's derived Hall algebra by constructing Grothendieck's six operations for the derived category of lisse-\'etale constructible sheaves on the derived stacks of complexes. Our formulation is based on an variant of Laszlo and Olsson's theory of derived categories and six operations for algebraic stacks. We also give an -theoretic explanation of the theory of derived stacks, which was originally constructed by To\"en and Vezzosi in terms of model theoretical language.
Keywords
Cite
@article{arxiv.1912.05442,
title = {Geometric derived Hall algebra},
author = {Shintarou Yanagida},
journal= {arXiv preprint arXiv:1912.05442},
year = {2019}
}
Comments
102 pages. arXiv admin note: text overlap with arXiv:math/0608040 by other authors