45 citations · 112 across the 18 of their papers we have counts for
19 papers
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…
Harnessing Self-Supervised Features for Art Classification
Federico Melis, Davide Bilardello, Emanuele Prato +2
Classifying artworks presents a significant challenge due to the complex interplay of fine-grained details and abstract features that condition the style or genre of an artwork. Th…
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…
Generalized Laurent monomials in nonrational toric geometry
Fiammetta Battaglia, Elisa Prato
We generalize Laurent monomials to toric quasifolds, a special class of highly singular spaces that extend simplicial toric varieties to the nonrational setting.
Toric Quasifolds
Elisa Prato
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the symplectic viewpoint, the longstanding open problem of extending the classical…
Nonrational polytopes and fans in toric geometry
Fiammetta Battaglia, Elisa Prato
First, we examine the notion of nonrational convex polytope and nonrational fan in the context of toric geometry. We then discuss and interrelate some recent developments in the su…