Polynomial identities related to special Schubert varieties
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AbstractLet $$\mathcal S$$ S be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem applied to such a variety has been obtained in a paper of the second author. Starting from this result, we provide an explicit description of the Poincaré polynomial of the intersection cohomology of $$\mathcal S$$ S by means of the Poincaré polynomials of its strata, obtaining interesting polynomial identities relating Poincaré polynomials of several Grassmannians, both by a local and by a global point of view. We also present a symbolic study of a particular case of these identities.
2021 ◽
pp. 189-208
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2010 ◽
Vol DMTCS Proceedings vol. AN,...
(Proceedings)
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Keyword(s):
2021 ◽
Vol 2038
(1)
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pp. 012026
2020 ◽
Vol DMTCS Proceedings, 28th...
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Keyword(s):
2014 ◽
Vol 14
(03)
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pp. 1550036
2004 ◽
Vol 25
(8)
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pp. 1151-1167
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2003 ◽
Vol 182
(2-3)
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pp. 317-328
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