Euler cycles and Mennicke symbols

2017/12/17 by Das, Mrinal Kanti, Tikader, Soumi, Zinna, Md. Ali
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.06162

Abstract

Let R be a smooth affine domain of dimension d≥ 2 over an infinite perfect field k. We establish a morphism from the Euler class group E^d(R) to Um_d+1(R)/E_d+1(R), the group of elementary orbits of unimodular rows.

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