A question of Nori, Segre classes of ideals and other applications

DOI10.1016/j.jpaa.2012.02.005zbMath1262.13014arXiv1408.2635OpenAlexW2143357801MaRDI QIDQ1934972

Mrinal Kanti Das, Manoj Kumar Keshari

Publication date: 30 January 2013

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

Full work available at URL: https://arxiv.org/abs/1408.2635

zbMATH Keywords

Projective modulesEfficient generation (\(K_ 0\))Polynomials over commutative rings

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomials over commutative rings (13B25) Efficient generation of modules (19A15)

Related Items (9)

Projective generation of ideals in a certain ring ⋮ Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das) ⋮ Efficient generation of ideals in a discrete Hodge algebra ⋮ Efficient generation of ideals over a certain monoid algebra ⋮ Efficient generation of ideals and an analogue of a result of Mohan Kumar ⋮ ``\({\mathbb{P}}^1\)-gluing for local complete intersections ⋮ On a question of Moshe Roitman and Euler class of stably free module ⋮ ``Strong Euler class of a stably free module of odd rank ⋮ Efficient generation of ideals in overrings of polynomial rings

Cites Work

• Euler class and complete intersections
• Some theorems about projective modules over polynomial rings
• Some theorems on generation of ideals in affine algebras
• Good invariants for bad ideals
• On efficient generation of ideals
• Projective generation of curves in polynomial extensions of an affine domain and a question of Nori
• A question of Nori: Projective generation of ideals
• Zero cycles and projective modules
• Generating modules efficiently: Theorems from algebraic K-theory
• The Euler class group of a polynomial algebra. II
• \(K\)-theory and stable algebra
• On triviality of the Euler class group of a deleted neighbourhood of a smooth local scheme
• The Conjectures of Eisenbud and Evans
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