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Towers of submanifolds of Grassmannians

Published online by Cambridge University Press:  14 November 2011

Elmer Rees
Affiliation:
Department of Mathematics, University of Edinburgh, James Clerk Maxwell Building, Mayfield Road, Edinburgh EH9 3JZ

Synopsis

There is a conjecture that a tower of smooth subvarieties V(n) with fixed codimension l in Gk(ℂn) must be a standard example. It is shown that even under topological hypotheses, all cohomological invariants of such a tower must coincide with those of standard examples.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1983

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