A Gersten complex on real schemes
Algebraic Geometry
2025-04-24 v3 K-Theory and Homology
Abstract
We discuss a connection between coherent duality and Verdier duality via a Gersten-type complex of sheaves on real schemes, and show that this construction gives a dualizing object in the derived category, which is compatible with the exceptional inverse image functor . The hypercohomology of this complex coincides with hypercohomology of the sheafified Gersten-Witt complex, which in some cases can be related to topological or semialgebraic Borel-Moore homology.
Cite
@article{arxiv.2007.04625,
title = {A Gersten complex on real schemes},
author = {Fangzhou Jin and Heng Xie},
journal= {arXiv preprint arXiv:2007.04625},
year = {2025}
}