arXiv:1301.3188 Abstract | arXiv Analytics

arXiv:1301.3188 [math.CO]Abstract References Reviews Resources

Enumerating indices of Schubert varieties defined by inclusions

Published 2013-01-15, updated 2013-12-12Version 2

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.

Comments: 14 pages, 3 figures. Accepted in Journal of Combinatorial Theory, Series A

Categories: math.CO, math.AG

Subjects: 05A05, 05A15, 14M15

Keywords: schubert varieties, enumerating indices, inclusions, infinite grids, algebraic geometry

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