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math.RT2025
An equivalence linking CM-types and
Charley Cummings, Sira Gratz, Ellen Kirkman +3
We show that, for a specific grading, the stable categories of graded maximal Cohen-Macaulay modules over hypersurfaces of type and are equivalent.
math.RA2025
Abstract Cluster Structures
Jan E. Grabowski, Sira Gratz
We describe a framework for encoding cluster combinatorics using categorical methods. We give a definition of an abstract cluster structure, which captures the essence of cluster m…
math.RT2025
Ind-cluster algebras and infinite Grassmannians
Sira Gratz, Christian Korff
A prototypical examples of a cluster algebra is the coordinate ring of a finite Grassmannian: using the Plücker embedding the cluster algebra structure allows one to move between `…