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math.AG2026
Fine multidegrees, universal Grobner bases, and matrix Schubert varieties
Daoji Huang, Matt Larson
We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in…
math.AG2025
A decomposition theorem for Lefschetz modules
Omid Amini, June Huh, Matt Larson
A Lefschetz module is a module over a graded algebra that satisfies analogues of Poincaré duality, the Hard Lefschetz property, and the Hodge--Riemann relations with respect to…