The Euler class group of a polynomial algebra.

DOI10.1016/S0021-8693(03)00240-0zbMath1106.13300MaRDI QIDQ1399186

Mrinal Kanti Das

Publication date: 30 July 2003

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

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (20)

Existence of unimodular elements in a projective module ⋮ Projective generation of ideals in a certain ring ⋮ A note on quasi-monic polynomials and efficient generation of ideals ⋮ Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das) ⋮ Efficient generation of ideals in a discrete Hodge algebra ⋮ Euler class group of a Laurent polynomial ring: local case ⋮ On a question of Nori: obstructions, improvements, and applications ⋮ On invariance of the Euler class groups under a subintegral base change ⋮ Projective generation of ideals in polynomial extensions ⋮ Monic inversion principle and complete intersection ⋮ Efficient generation of ideals and an analogue of a result of Mohan Kumar ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ Euler class groups and a theorem of Roitman ⋮ The Euler class group of a polynomial algebra. II ⋮ Good invariants for bad ideals ⋮ ``\({\mathbb{P}}^1\)-gluing for local complete intersections ⋮ On the Equations De.ning Curves in a Polynomial Algebra ⋮ Revisiting Nori's question and homotopy invariance of Euler class groups ⋮ On triviality of the Euler class group of a deleted neighbourhood of a smooth local scheme ⋮ Efficient generation of ideals in overrings of polynomial rings

Cites Work

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• Some theorems about projective modules over polynomial rings
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• Cancellation over affine varieties
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• Projective generation of curves in polynomial extensions of an affine domain and a question of Nori
• Projective generation of curves in polynomial extensions of an affine domain. II
• Zero cycles and the Euler class groups of smooth real affine varieties
• Zero cycles and projective modules
• Generating modules efficiently: Theorems from algebraic K-theory
• Unimodular elements in projective modules
• On a question of nori: the local case
• The Conjectures of Eisenbud and Evans
• Monic Polynomials and Generating Ideals Efficiently
• Projective modules over polynomial rings

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