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math.AC2022
Buchsbaum-Eisenbud complexes of OI-modules
Nathan Fieldsteel, Uwe Nagel
We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical compl…
math.AC2021
Minimal and cellular free resolutions over polynomial OI-algebras
Nathan Fieldsteel, Uwe Nagel
Minimal free resolutions of graded modules over a noetherian polynomial ring have been attractive objects of interest for more than a hundred years. We introduce and study two natu…
math.AC2019★ 7 cited
Gröbner bases and the Cohen-Macaulay property of Li's double determinantal varieties
Nathan Fieldsteel, Patricia Klein
We consider double determinantal varieties, a special case of Nakajima quiver varieties. Li conjectured that double determinantal varieties are normal, irreducible, Cohen-Macaulay…