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arXiv · 2108.06236

The Baily-Borel compactification of a family of orthogonal modular varieties

Matthew Dawes
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Abstract

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 the classification of boundary components, their incidence relations and combinatorics.

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Matthew Dawes. 2021-08-13. The Baily-Borel compactification of a family of orthogonal modular varieties. https://arxiv.org/abs/2108.06236

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