On the existence of a Gysin morphism for the Blow-up of an ordinary\n singularity

2016/03/12 by Vincenzo Di Gennaro, D. Franco, Di Gennaro, Vincenzo +1
Mathematics · #14B05 #14E15 #14F05 #14F45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1603.03890

openalex publication_date 2016/03/12 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper we characterize the Blowing-up maps of ordinary singularities\nfor which there exists a natural Gysin morphism, i.e. a bivariant class \θ\n\∈ Hom_D(Y)(R\π_* mathbb Q_X, mathbb Q_Y), compatible with pullback and\nwith restriction to the complement of the singularity.\n

Related

• The blow-up of a singularity at the module of derivations
• Virtual pull-backs
• On the blow-up of a normal singularity at maximal Cohen-Macaulay modules
• On the topology of a resolution of isolated singularities
• The Gysin map is compatible with mixed Hodge structures