4 papers · 1 filter
Degenerations and Fibrations of K3 Surfaces: Lattice Polarisations and Mirror Symmetry
Luca Giovenzana, Alan Thompson
Tyurin degenerations of K3 surfaces are degenerations whose central fibre consists of a pair of rational surfaces glued along a smooth elliptic curve. We study the lattice theory o…
Normal Forms and Tyurin Degenerations of K3 Surfaces Polarised by a Rank 18 Lattice
Charles F. Doran, Joseph Prebble, Alan Thompson
We study projective Type II degenerations of K3 surfaces polarised by a certain rank 18 lattice, where the central fibre consists of a pair of rational surfaces glued along a smoot…
K-moduli of Fano threefolds in family 3.10
Ivan Cheltsov, Alan Thompson
We find all K-polystable limits of smooth Fano threefolds in family 3.10.
Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations
Andrew Harder, Alan Thompson
Motivated by the relationship between numerical Grothendieck groups induced by the embedding of a smooth anticanonical elliptic curve into a del Pezzo surface, we define the notion…