Work

A Gersten complex on real schemes

Year: 2020

Type: preprint

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 $f^!$. 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2007.04625

Authors: Jin, Fangzhou, Xie, Heng

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Sun Yat-sen University, Engineering and Physical Sciences Research Council, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities

Awards: G1496900619, G1985268728, G310134133, Higher Grothendieck-Witt groups and A1-homotopy theory, G6665767358, G6754795756, G6800139425, G8438232881

OpenAlex ID: W3041059998

Cites: 19

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Related to: 10