Euler class groups and a theorem of Roitman

DOI10.1016/J.JPAA.2010.08.014zbMath1217.13004OpenAlexW2062841828MaRDI QIDQ531338

Mrinal Kanti Das, Raja Sridharan

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.08.014

zbMATH Keywords

Euler class grouplocal global principleNori idealsQuillen's localization theoremregular domains

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Class groups (13C20) Efficient generation of modules (19A15)

Related Items (4)

The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ ``\({\mathbb{P}}^1\)-gluing for local complete intersections ⋮ On triviality of the Euler class group of a deleted neighbourhood of a smooth local scheme ⋮ On a question of Moshe Roitman and Euler class of stably free module

Cites Work

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• The Euler class groups of polynomial rings and unimodular elements in projective modules
• A question of Nori: Projective generation of ideals
• Non-vanishing sections of algebraic vector bundles
• The Euler class group of a polynomial algebra. II
• On a question of nori: the local case
• On projective modules over polynomial rings

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