The lattice property for perfect complexes on singular stacks
Algebraic Geometry
2023-08-04 v1 K-Theory and Homology
Abstract
Let C be the stable oo-category of perfect complexes on a derived Deligne-Mumford stack X of finite type over the complex numbers. We prove that the complexified noncommutative topological Chern character is an isomorphism for C. In the appendix we show the same property for C the stable oo-category of coherent complexes on a derived algebraic space.
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Cite
@article{arxiv.2308.01617,
title = {The lattice property for perfect complexes on singular stacks},
author = {Adeel A. Khan},
journal= {arXiv preprint arXiv:2308.01617},
year = {2023}
}
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7 pages