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math.AG2026
Nonrationality Degree of Toric Quasifolds
Fiammetta Battaglia, Elisa Prato
Toric quasifolds are nonrational generalizations of toric manifolds and orbifolds. We introduce the notion of nonrationality degree, an invariant that measures the extent to which…
math.AG2026
Algebraic Toric Quasifolds
Fiammetta Battaglia, Elisa Prato
Symplectic and complex toric quasifolds are a generalization of toric manifolds and orbifolds to the nonrational case. In this paper, we reframe these notions from the viewpoint of…