14 citations · 42 across the 15 of their papers we have counts for
17 papers
A unified family of counterexamples to Batyrev's non-negativity conjecture on stringy Hodge numbers
Dimitrios I. Dais
Recently, Huang and Satriano determined the sharp dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers: the conjecture holds in dimensions at most f…
On the Twelve-Point Theorem for -Reflexive Polygons
Dimitrios I. Dais
It is known that, adding the number of lattice points lying on the boundary of a reflexive polygon and the number of lattice points lying on the boundary of its polar, always yield…
Toric log del Pezzo surfaces with one singularity
Dimitrios I. Dais
This paper focuses on the classification of all toric log Del Pezzo surfaces with exactly one singularity up to isomorphism, and on the description of how they are embedded as inte…
Computing minimal generating systems for some special toric ideals
Dimitrios I. Dais, Ioannis Markakis
Let be the projective toric surface associated to a lattice polytope . If the number of lattice points lying on the boundary of is at least , it is known that $X_…
Classification of Toric log Del Pezzo Surfaces having Picard Number 1 and Index
Dimitrios I. Dais
Toric log Del Pezzo surfaces with Picard number 1 have been completely classified whenever their index is : In this paper we extend the classification for those having index…
A boundedness result for toric log Del Pezzo surfaces
Dimitrios I. Dais, Benjamin Nill
In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities of toric log Del Pezzo surfaces of given index .…