An inequality of Kostka numbers and Galois groups of Schubert problems

We show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. Using a criterion of Vakil and a special position argument due to Schubert, this follows from a particular inequality among Kostka numbers of two-rowed tableaux. In most cases, a...

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Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science
Main Authors:	Christopher J. Brooks, Abraham Martín Campo, Frank Sottile
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2012-01-01
Subjects:	kostka numbers galois groups schubert calculus schubert varieties [info.info-dm]computer science [cs]/discrete mathematics [cs.dm]
Online Access:	https://dmtcs.episciences.org/3099/pdf