Geometry of polynomial mappings at infinity via intersection homology

2010/07/14 by Anna Valette, Valette, Anna, Guillaume Valette +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1007.2394

arxiv created 2010/07/14 · openalex publication_date 2010/07/14 · arxiv updated 2010/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For given polynomial map F:\C²→\C² with nonvanishing jacobian we associate a variety whose homology or intersection homology describes the geometry of singularities at infinity of this map.

Citations

• L^∞ cohomology is intersection cohomology

Related

• On the monodromy at infinity of a polynomial map, II
• Around the topological classification problem of polynomial maps: A survey
• Two remarks on non-zero constant Jacobian polynomial map of C²
• Whitney theorem for complex polynomial mappings
• Non-proper value set and the Jacobian condition