32 citations · 86 across the 17 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…
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.
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…
Nonrational Symplectic Toric Reduction
Fiammetta Battaglia, Elisa Prato
In this article, we introduce symplectic reduction in the framework of nonrational toric geometry. When we specialize to the rational case, we get symplectic reduction for the acti…
Hirzebruch surfaces in a one-parameter family
Fiammetta Battaglia, Elisa Prato, Dan Zaffran
We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as…