4 papers
A canonicity criterion for toric varieties and the classification of canonical 4-simplices
Marco Ghirlanda
Based on the Reid-Shepherd-Barron-Tai criterion for canonical and terminal quotient singularities, we characterize canonicity and terminality of a toric variety in terms of its loc…
Calabi-Yau complete intersections in fake weighted projective spaces
Marco Ghirlanda
We present a classification algorithm for Calabi-Yau complete intersections arising from nef-partitions in fake weighted projective spaces, allowing us to determine all such comple…
A classification algorithm for reflexive simplices
Marco Ghirlanda
We present a general classification algorithm for reflexive simplices, which allows us to determine all reflexive simplices in dimensions five and six. In terms of algebraic geomet…
Gorenstein Fano threefolds of Picard number one with a -action and maximal orbit quotient
Marco Ghirlanda
We classify the non-toric, -factorial, Gorenstein, Fano threefolds of Picard number one with an effective -action and maximal orbit quotient $\mathbb{P}_2…