Homotopy type of complements of fiber-type curves
Abstract
In this note we study the homotopy type of the complement of a plane projective curve of fiber-type. Roughly speaking, a curve of fiber-type is a finite union of fibers of a pencil. Under some restrictions, a full description of their homotopy type is given. In the context of fiber-type curves, we also partially answer in the positive a question originally posed by Libgober on the homotopy type of complements of plane curves, namely, whether or not the homotopy type of a curve complement is determined by the fundamental group and its Euler characteristic.
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 165–173
- Publication date
- 1 January 2026
- Language
- EN