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GROEBNER BASES AND NONEMBEDDINGS OF SOME FLAG MANIFOLDS
Published online by Cambridge University Press: 31 March 2014
Abstract
Groebner bases for the ideals determining mod $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}2$ cohomology of the real flag manifolds
$F(1,1,n)$ and
$F(1,2,n)$ are obtained. These are used to compute appropriate Stiefel–Whitney classes in order to establish some new nonembedding and nonimmersion results for the manifolds
$F(1,2,n)$.
MSC classification
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- Research Article
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- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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