A note on Mumford-Roitman argument on Chow schemes

2017/01/12 by Kalyan Banerjee, Banerjee, Kalyan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1701.03431

12 pages

arxiv created 2017/01/12 · openalex publication_date 2017/01/12 · arxiv updated 2017/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we are going to understand two questions. One is the fiber of the natural map from a projective algebraic group G to G/Γ, where Γ denotes the Γ-equivalence on G. The other one is to define a natural map from Hilbert scheme of the generic fiber of a fibration X→ S to the Chow group of relative zero cycles on X→ S and to understand the fibers of this map.

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