89 citations · 735 across the 47 of their papers we have counts for
4 papers · 1 filter
On the combinatorial classification of toric log del Pezzo surfaces
Alexander M. Kasprzyk, Maximilian Kreuzer, Benjamin Nill
Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their interior and having only primitive vertices. An upper bound on the volume and on t…
A note on palindromic -vectors for certain rational polytopes
Matthew H. J. Fiset, Alexander M. Kasprzyk
Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart -ve…
Canonical toric Fano threefolds
Alexander M. Kasprzyk
An inductive approach to classifying toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst cano…
Bounds on Fake Weighted Projective Space
Alexander Kasprzyk
A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (λ_0,...,λ_n). W…