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Enumerating indices of Schubert varieties defined by inclusions
Journal article   Open access   Peer reviewed

Enumerating indices of Schubert varieties defined by inclusions

Michael H. Albert and Robert Brignall
Journal of combinatorial theory. Series A, Vol.123(1), pp.154-168
04/2014

Abstract

Enumeration Pattern classes Schubert varieties
By extending the notion of grid classes to include infinite grids, we establish a structural characterisation of the simple permutations in Av(4231,35142,42513,351624), a pattern class which has three different connections with algebraic geometry, including the specification of indices of Schubert varieties defined by inclusions. This characterisation leads to the enumeration of the class.
url
https://doi.org/10.1016/j.jcta.2013.12.003View
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