4 citations · 6 across the 3 of their papers we have counts for
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math.AG2005★ 4 cited
Ehrhart polynomials and stringy Betti numbers
Mircea Mustata, Sam Payne
We study the connection between stringy Betti numbers of Gorenstein toric varieties and the generating functions of the Ehrhart polynomials of certain polyhedral regions. We use th…
math.AG2005★ 1 cited
A smooth, complete threefold with no nontrivial nef line bundles
Sam Payne
We present a smooth, complete toric threefold with no nontrivial nef line bundles. This is a counterexample to a recent conjecture of Fujino.
math.AG2004★ 1 cited
Topology of real toric surfaces
Sam Payne
We determine the homeomorphism type of the set of real points of a smooth projective toric surface. This note may serve as an expository introduction to some of the ideas and techn…