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Chow rings of fine quiver moduli are tautologically presented

2013/07/31 by Hans Franzen, H. Franzen
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Degeneracy (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Moduli #Moduli space #Physics #Pure mathematics #Quiver #math.AG #math.RT

paper · pdf · doi:10.1007/s00209-015-1409-8

30 pages, final version to appear in Math. Z

openalex publication_date 2015/01/10 · arxiv created 2015/01/15 · arxiv updated 2015/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A result of A. King and C. Walter asserts that the Chow ring of a fine quiver moduli space is generated by the Chern classes of universal bundles if the quiver is acyclic. We will show that defining relations between these Chern classes arise geometrically as degeneracy loci associated to the universal representation.

Citations