1 citations · 1 across the 2 of their papers we have counts for
4 papers
Winding Number of -modular sequences and Applications to the Singularity Content of a Fano Polygon
Daniel Cavey, Akihiro Higashitani
By generalising the notion of a unimodular sequence, we create an expression for the winding number of certain ordered sets of lattice points. Since the winding number of the verti…
Restrictions on the Singularity Content of a Fano Polygon
Daniel Cavey
We determine restrictions on the singularity content of a Fano polygon, or equivalently of certain orbifold del Pezzo surfaces. We establish bounds on the maximum number of 1/R(1,1…
Del Pezzo surfaces with a single 1/k(1,1) singularity
Daniel Cavey, Thomas Prince
Inspired by the recent progress by Coates-Corti-Kasprzyk et al. on Mirror Symmetry for del Pezzo surfaces, we show that for any positive integer k the deformation families of del P…
Classification of Minimal Polygons with Specified Singularity Content
Daniel Cavey, Edwin Kutas
It is known that there are only finitely many mutation-equivalence classes with a given singularity content, and each of these equivalence classes contains only finitely many minim…