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pro vyhledávání: '"Dawes, Matthew"'
Autor:
Dawes, Matthew
In arXiv:1710.01672, we obtained general type results for orthogonal modular varieties associated with moduli spaces of compact hyperk\"ahler manifolds of deformation generalised Kummer type (also known as 'deformation generalised Kummer varieties').
Externí odkaz:
http://arxiv.org/abs/2405.15675
Autor:
Dawes, Matthew
We exhibit algorithms for calculating Tits' buildings and orbits of vectors in a lattice $L$ for certain subgroups of $\operatorname{O}(L)$. We discuss how these algorithms can be applied to understand the configuration of boundary components in the
Externí odkaz:
http://arxiv.org/abs/2205.10601
Autor:
Dawes, Matthew
We study the Baily-Borel compactification of a family of four-dimensional orthogonal modular varieties arising in connection with moduli and periods of compact hyperk\"ahler manifolds of deformation generalised Kummer type. Our main results concern t
Externí odkaz:
http://arxiv.org/abs/2108.06236
Autor:
Dawes, Matthew
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 squared length -2. As a consequence, every unnodal Enriques surface adm
Externí odkaz:
http://arxiv.org/abs/1907.04856
Autor:
Dawes, Matthew
We study orthogonal modular varieties associated with the moduli of generalised Kummer manifolds. We are particularly interested in understanding the singularities that arise in certain toroidal compactifications. Throughout, we place particular emph
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.687314
Autor:
Dawes, Matthew
We prove general type results for orthogonal modular varieties associated with the moduli of compact hyperk\"ahler manifolds of deformation generalised Kummer type ('deformation generalised Kummer varieties'). In particular, we consider moduli spaces
Externí odkaz:
http://arxiv.org/abs/1710.01672
Autor:
Dawes, Matthew
We study combinatorial problems related to the singularities and boundary components of toroidal compactifications of orthogonal modular varieties. In particular, those associated with the moduli of algebraic deformation generalised Kummer 4-folds.
Externí odkaz:
http://arxiv.org/abs/1604.00726
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