Some results on Euler class groups

2010/06/15 by Manoj K. Keshari, Manoj K Keshari, Keshari, Manoj K
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.AC #msc:13C10

paper · pdf · doi:10.48550/arxiv.1006.2952

arxiv created 2010/06/15 · arxiv updated 2010/06/16

Abstract

Let A be a regular domain of dimension d containing an infinite field and let n be an integer with 2n≥ d+3. For a stably free A-module P of rank n, we prove that (i) P has a unimodular element if and only if the euler class of P is zero in Eⁿ(A) and (ii) we define Whitney class homomorphism w(P):E^s(A)\ra E^n+s(A), where E^s(A) denotes the sth Euler class group of A for s≥ 1.

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