Euler class and complete intersections

DOI10.1215/kjm/1250518503zbMath0874.13010OpenAlexW1601793442MaRDI QIDQ675796

Raja Sridharan, Satyagopal Mandal

Publication date: 20 May 1997

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518503

zbMATH Keywords

liftingprojective moduleEuler class grouplocal complete intersection ideal

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Projective and free modules and ideals in commutative rings (13C10)

Related Items (20)

The Homotopy Obstructions in Complete Intersections ⋮ Local coefficients and Euler class groups ⋮ \(K_0\) of hypersurfaces defined by \(x_1^2+\dots +x_n^2=\pm1 \) ⋮ Euler class group of a Laurent polynomial ring: local case ⋮ On a question of Nori: obstructions, improvements, and applications ⋮ Excision in algebraic obstruction theory ⋮ A question of Nori, Segre classes of ideals and other applications ⋮ The Euler class group of a polynomial algebra. ⋮ Subrings of polynomial rings and the conjectures of Eisenbud and Evans ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ The Euler class group of a polynomial algebra. II ⋮ Good invariants for bad ideals ⋮ A Riemann-Roch theorem ⋮ Euler class construction ⋮ Intersection theory of algebraic obstructions ⋮ Bott periodicity and calculus of Euler classes on spheres ⋮ An arithmetic count of the lines on a smooth cubic surface ⋮ Addition and subtraction of ideals ⋮ The monoid structure on homotopy obstructions ⋮ An arithmetic count of the lines meeting four lines in 𝐏³

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