5 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
Orbits in Lattices
Matthew Dawes
We exhibit algorithms for calculating Tits' buildings and orbits of vectors in a lattice for certain subgroups of . We discuss how these algorithms can be…
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…
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…
On the Kodaira Dimension of the Moduli of Deformation Generalised Kummer Varieties
Matthew Dawes
We prove general type results for orthogonal modular varieties associated with the moduli of compact hyperkähler manifolds of deformation generalised Kummer type ('deformation gene…
Boundary combinatorics of orthogonal modular 4-folds
Matthew Dawes
We study combinatorial problems related to the singularities and boundary components of toroidal compactifications of orthogonal modular varieties. In particular, those associated…