Minimal equations for matrix Schubert varieties
Shiliang Gao, Alexander Yong
TL;DR
This paper identifies explicit minimal generators for Fulton's Schubert determinantal ideals, providing a clearer algebraic understanding of matrix Schubert varieties.
Contribution
It introduces explicit minimal equations for matrix Schubert varieties, advancing the algebraic description of these geometric objects.
Findings
Explicit minimal generators for Schubert determinantal ideals
Implications for algebraic and geometric properties of Schubert varieties
Enhanced understanding of matrix Schubert varieties' defining equations
Abstract
Explicit minimal generators for Fulton's Schubert determinantal ideals are determined along with some implications.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models