On a singular variety associated to a polynomial mapping

Abstract

In the paper "Geometry of polynomial mapping at infinity via intersection homology" the second and third authors associated to a given polynomial mapping $F : \C^2 \to \C^2$ with nonvanishing jacobian a variety whose homology or intersection homology describes the geometry of singularities at infinity of the mapping. We generalize this result.

arXiv comment1 figure

References in corpus (2)

• Geometry of polynomial mappings at infinity via intersection homology
• $L^{\infty }$ cohomology is intersection cohomology

Cited by in corpus (5)

• On a singular variety associated to a polynomial mapping from $\C^n$ to $\C^{n-1}$
• A singular variety associated to the smallest degree Pinchuk map
• Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104
• A remark on a polynomial mapping from $\C^n$ to $\C^n$
• A remark on a polynomial mapping $F: \C^n \to \C^{n}$