32 citations · 86 across the 17 of their papers we have counts for
8 papers · 1 filter
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…
Simplicial toric varieties as leaf spaces
Fiammetta Battaglia, Dan Zaffran
We present a summary of some results from our article [BZ1] and other recent results on the so-called LVMB manifolds. We emphasize some features by taking a different point of view…
Betti numbers of the geometric spaces associated to nonrational simple convex polytopes
Fiammetta Battaglia
We compute the Betti numbers of the geometric spaces associated to nonrational simple convex polytopes and find that they depend on the combinatorial type of the polytope exactly a…