6 citations · 13 across the 5 of their papers we have counts for
6 papers
LDP polygons and the number 12 revisited
Ulrike Bücking, Christian Haase, Karin Schaller +1
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, generalizing the formula for reflexive . The identi…
On the finite generation of valuation semigroups on toric surfaces
Klaus Altmann, Christian Haase, Alex Küronya +2
We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maxi…
Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces
Victor Batyrev, Karin Schaller
We consider a -dimensional well-formed weighted projective space as a toric variety associated with a fan in $N_{\overline{w}} \otim…
On the Fine Interior of Three-dimensional Canonical Fano Polytopes
Victor Batyrev, Alexander Kasprzyk, Karin Schaller
The Fine interior of a -dimensional lattice polytope is a rational subpolytope of which is important for constructing minimal birational models of non-de…
Stringy -functions of canonical toric Fano threefolds and their applications
Victor Batyrev, Karin Schaller
Let be a -dimensional lattice polytope containing exactly one interior lattice point. We give a simple combinatorial formula for computing the stringy -function of the $3…
Stringy Chern classes of singular toric varieties and their applications
Victor Batyrev, Karin Schaller
Let X be a normal projective Q-Gorenstein variety with at worst log-terminal singularities. We prove a formula expressing the total stringy Chern class of a generic complete inters…