Outputs (2)

Canonical toric Fano threefolds (2010)
Journal Article
Kasprzyk, A. M. (2010). Canonical toric Fano threefolds. Canadian Journal of Mathematics, 62(6), https://doi.org/10.4153/CJM-2010-070-3

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 canonical singularities. Up to isomorphism, there are 674,688 such varieti... Read More about Canonical toric Fano threefolds.

On the combinatorial classification of toric log del Pezzo surfaces (2010)
Journal Article
Kasprzyk, A. M., Kreuzer, M., & Nill, B. (2010). On the combinatorial classification of toric log del Pezzo surfaces. LMS Journal of Computation and Mathematics, 13, https://doi.org/10.1112/S1461157008000387

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 the number of boundary lattice points of these polygons is derived in t... Read More about On the combinatorial classification of toric log del Pezzo surfaces.