2012/11/08 by R. V. Gurjar, Mariusz Koras, Gurjar, R. V. +11
Mathematics · #14L30 #14R20 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14L30 #msc:14R20
paper · pdf · doi:10.48550/arxiv.1211.1757
39 pages, To appear in the Proceedings of the conference held in Osaka, March 2011
arxiv created 2012/11/08 · openalex publication_date 2012/11/08 · arxiv updated 2012/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The affine line minus one point is the underlying space of the algebraic torus of dimension one. However the fibration of an affine algebraic threefold by the affine line minus one point is not always the quotient morphism of the threefold by the algebraic torus. We investigate the structure of affine algebraic threefolds having fibrations by the affine line minus one point. Our results cover not only algebro-geometric but also topological properties of the threefolds. We also consider when the fibration by the affine line minus one point becomes the quotient morphism by an algebraic torus of dimension one.