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math.AC2026
Regular pullback of generalized cluster structures
Misha Gekhtman, Michael Shapiro, Alek Vainshtein
We consider the problem of lifting a regular cluster structure on a quasi-affine variety to the ambient affine space and a similar problem of defining a regular pullback of a regul…
math.AC2019★ 9 cited
Periodic staircase matrices and generalized cluster structures
Misha Gekhtman, Michael Shapiro, Alek Vainshtein
As is well-known, cluster transformations in cluster structures of geometric type are often modeled on determinant identities, such as short Plucker relations, Desnanot--Jacobi ide…