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math.RT2026
Atom spectra of symmetric monoidal abelian categories and classification of subcategories
Shunya Saito
We extend the classification results for torsion classes and torsion-free classes in the category of finitely generated modules over a commutative noetherian ring to suitable symme…
math.RT2023
Classifying torsionfree classes of the category of coherent sheaves and their Serre subcategories
Shunya Saito
In this paper, we classify several subcategories of the category of coherent sheaves on a noetherian divisorial scheme (e.g. a quasi-projective scheme over a commutative noetherian…