Nonsmoothing of algebraic cycles on Grassmann varieties

DOI10.1090/S0002-9904-1974-13537-8zbMath0289.14011WikidataQ104165450 ScholiaQ104165450MaRDI QIDQ4777438

Emery Thomas, Robin Hartshorne, Elmer G. Rees

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) (Equivariant) Chow groups and rings; motives (14C15) Smoothing in differential topology (57R10)

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Cites Work

• Unnamed Item
• Steenrod operations in homological algebra
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• Modules projectifs universels
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Quelques propriétés globales des variétés différentiables
• La classe d'homologie fondamentale d'un espace analytique
• Smoothing of Algebraic Cycles of Small Dimensions
• Groupes de Lie et Puissances Reduites de Steenrod