The instrinsic stable normal cone
| Autor: | Marc Levine |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Algebra and Number Theory Nuclear magnetic resonance Mathematics::K-Theory and Homology Mathematik 14N35 (primary) 14F42 55P42 (secondary) FOS: Mathematics Geometry and Topology Algebraic Geometry (math.AG) Mathematics::Algebraic Topology |
| Zdroj: | Algebraic Geometry |
| ISSN: | 2214-2584 |
| DOI: | 10.14231/ag-2021-016 |
| Popis: | We construct an analog of the intrinsic normal cone of Behrend-Fantechi in the equivariant motivic stable homotopy category over a base-scheme B and construct a fundament class in E-cohomology for any cohomology theory E in SH(B). For affine B, a perfect obstruction theory gives rise to a virtual fundamental class in a twisted Borel-Moore E-homology for arbitrary E. This includes motivic cohomology (homotopy invariant) K-theory algebraic cobordism and the oriented Chow groups of Barge-Morel and Fasel. In the case of motivic cohomology, we recover the constructions of Behrend-Fantechi, with values in the Chow group. Final version. To appear in "Algebraic Geometry". The paper has been substantially reorganised and hopefully improved. A section on examples has been added. This version corrects some typos |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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