45 citations · 112 across the 18 of their papers we have counts for
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math.AG2022
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.
math.SG2022★ 2 cited
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…
math.AG2022★ 3 cited
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…