3 papers
math.AG2024
General type results for moduli of deformation generalised Kummer varieties
Matthew Dawes
In arXiv:1710.01672, we obtained general type results for orthogonal modular varieties associated with moduli spaces of compact hyperkähler manifolds of deformation generalised Kum…
math.AG2021
The Baily-Borel compactification of a family of orthogonal modular varieties
Matthew Dawes
We study the Baily-Borel compactification of a family of four-dimensional orthogonal modular varieties arising in connection with moduli and periods of compact hyperkähler manifold…
math.AG2019
A very short proof of the Borisov-Nuer conjecture
Matthew Dawes
We prove a conjecture of Borisov and Nuer, which states that every element in the even unimodular lattice of signature (1,9) can be expressed as the difference of two elements of s…