Schubert geometry and combinatorics
Alexander Woo, Alexander Yong
TL;DR
This paper provides an introduction and survey on Schubert varieties, focusing on their singularities and combinatorial classification using polynomial ideals generated by determinants.
Contribution
It offers a comprehensive overview of combinatorial methods for classifying singularities of Schubert varieties, integrating recent research and polynomial ideal techniques.
Findings
Classification of singularities via polynomial ideals
Connection between combinatorics and geometry of Schubert varieties
Survey of recent advances in Schubert geometry
Abstract
This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals generated by determinants.
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Taxonomy
TopicsMathematics and Applications · Advanced Combinatorial Mathematics · Psychoanalysis and Psychopathology Research