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The geometry of T-varieties

Klaus Altmann, Nathan Owen Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert · 2012 · DOI 10.4171/114-1/2.url:

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Complexity of the Zero Set of a Matrix Schubert Ideal

math.AG · 2025-09-30 · accept · novelty 6.0

For each n≥4, the torus-action complexity of the reduced matrix Schubert variety Y_w takes every integer value from 0 to (n−1)(n−3) except 1, with unique maximum at w=[n,n−1,…,3,1,2].

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  • Complexity of the Zero Set of a Matrix Schubert Ideal math.AG · 2025-09-30 · accept · none · ref 2

    For each n≥4, the torus-action complexity of the reduced matrix Schubert variety Y_w takes every integer value from 0 to (n−1)(n−3) except 1, with unique maximum at w=[n,n−1,…,3,1,2].