3 papers
math.AG2026
How to make log structures
Alessio Corti, Helge Ruddat
We introduce the concept of a viable generically Gorenstein toroidal crossing (ggtc) space . This generalizes the concept of Gorenstein toroidal crossing scheme, which in turn g…
math.AG2025
Singular Log Structures and Log Crepant Log Resolutions I
Alessio Corti, Tim Graefnitz, Helge Ruddat
We introduce a class of singular log schemes in three dimensions and conjecture that log schemes in this class admit log crepant log resolutions. We provide examples as evidence an…
math.AG2024
Smoothing Gorenstein toric Fano 3-folds
Alessio Corti, Paul Hacking, Andrea Petracci
We introduce admissible Minkowski decomposition data (amd) for a 3-dimensional reflexive polytope P. This notion is defined purely in terms of the combinatorics of P. Denoting by X…