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Castelnuovo–Mumford regularity of matrix Schubert varieties

open access: yesSelecta Mathematica, New Series
36 ...
Oliver Pechenik, David E Speyer
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A bound on the Castelnuovo-Mumford regularity for curves

Mathematische Annalen, 2002
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Non-commutative Castelnuovo–Mumford regularity

Mathematical Proceedings of the Cambridge Philosophical Society, 1999
The author generalizes the notion of Castelnuovo-Mumford regularity [\textit{D. Mumford}, ``Lectures on curves on an algebraic surface'' (1966; Zbl 0187.42701)] for graded modules over non-commutative graded algebras. More exactly, the category of graded modules over quantum polynomial algebras in the sense of \textit{M. Artin} and \textit{J.-J. Zhang}
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Multigraded Castelnuovo–Mumford regularity via Klyachko filtrations

Forum Mathematicum, 2022
Rosa Maria Miró-Roig
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Resolutions and Castelnuovo-Mumford Regularity

Résolutions et Régularité de Castelnuovo-Mumford Le sujet de cette thèse est l'étude d'idéaux monomiaux de l'anneau de polynômes S qui ont une résolution linéaire. D'après un résultat remarquable de Bayer et Stilman et en utilisant la polarisation, la classification des idéaux monomiaux ayant une résolution linéaire est équivalente à la
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