3 papers
math.AG2024
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…
math.AG2024
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.
math.AG2024
The Mirror Clemens-Schmid Sequence
Charles F. Doran, Alan Thompson
We introduce a four-term long exact sequence that relates the cohomology of a smooth variety admitting a projective morphism onto a projective base to the cohomology of the open se…