``Strong Euler class of a stably free module of odd rank

DOI10.1016/j.jalgebra.2015.03.007zbMath1314.13018OpenAlexW1983843019MaRDI QIDQ2345550

Md. Ali Zinna, Mrinal Kanti Das

Publication date: 22 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.03.007

zbMATH Keywords

projective modulesunimodular rowsEuler class groups

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Algebraic cycles (14C25) Stability for projective modules (19A13) Efficient generation of modules (19A15)

Related Items (7)

Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das) ⋮ 𝐾-theory and 0-cycles on schemes ⋮ Motivic stable cohomotopy and unimodular rows ⋮ Projective generation of ideals in polynomial extensions ⋮ Orbit spaces of unimodular rows over smooth real affine algebras ⋮ ``\({\mathbb{P}}^1\)-gluing for local complete intersections ⋮ Extrapolating an Euler class

Cites Work

• On invariance of the Euler class groups under a subintegral base change
• Some remarks on orbit sets of unimodular rows
• Good invariants for bad ideals
• Projective modules over smooth, affine varieties over Archimedean real closed fields
• A group structure on certain orbit sets of unimodular rows
• Projective generation of curves in polynomial extensions of an affine domain and a question of Nori
• Zero cycles and the Euler class groups of smooth real affine varieties
• A question of Nori: Projective generation of ideals
• A question of Nori, Segre classes of ideals and other applications
• Extrapolating an Euler class
• On triviality of the Euler class group of a deleted neighbourhood of a smooth local scheme
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