2 papers
math.SG2025
Homological mirror symmetry for projective K3 surfaces
Paul Hacking, Ailsa Keating
We prove the homological mirror symmetry conjecture of Kontsevich for K3 surfaces in the following form: The Fukaya category of a projective K3 surface is equivalent to the derived…
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…