Pattern avoidance and fiber bundle structures on Schubert varieties

zbMath1385.05082MaRDI QIDQ5916029

Edward Richmond, Timothy Alland

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/07%20Richmond%20Alland.html

zbMATH Keywords

Schubert varietiespermutation pattern avoidance

Mathematics Subject Classification ID

Classical problems, Schubert calculus (14N15)

Cites Work

• Billey-Postnikov decompositions and the fibre bundle structure of Schubert varieties
• Criterion for smoothness of Schubert varieties in Sl(n)/B
• A combinatorial approach to the singularities of Schubert varieties
• On Schubert varieties in the flag manifold of Sl(n,\({\mathbb C})\)
• Smoothness of Schubert varieties via patterns in root subsystems
• Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry
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