Some modular varieties of low dimension
type: Item
instance of: scholarly article
title: Some modular varieties of low dimension
zbMATH Open document ID: 0974.11028
author: Eberhard Freitag
author: Carl Friedrich Hermann
published in: Advances in Mathematics
publication date: 2000-12-21T00:00:00Z
review text: From the introduction of the paper: Generally spoken it is hard to find projective models for modular varieties. So it is reasonable to modify the question as follows: Find arithmetic groups \(\Gamma \subset O(2,n)\) such that the Bailey Borel compactification \(X(\Gamma)\) admits a fine covering \(X(\Gamma) \rightarrow \mathbb{P}^n(\mathbb{C})\) of known degree and such that the ramification divisor can explicitly be described as a linear combination of quadratic divisors. In this paper we propose some examples for further study.
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 14G35
zbMATH DE Number: 1496438
zbMATH Keywords: projective models
zbMATH Keywords: modular varieties
zbMATH Keywords: arithmetic groups
zbMATH Keywords: Bailey Borel compactification
reviewed by: Chandrashekhar Khare
MaRDI profile type: Publication
full work available at URL: aima.1998.1882
OpenAlex ID: W2494870212
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DOI: 10.1006/AIMA.1998.1882
description: scientific article; zbMATH DE number 1496438