The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. The text will be of interest to all involved in the study of moduli spaces with symmetries, and contains in addition a wealth of material which has been only accessible in very old sources, including a detailed presentation of the solution of the equation of 27th degree for the lines on a cubic surface.

Bibliographic Information

Book Title: The Geometry of some special Arithmetic Quotients
Authors: Bruce Hunt
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0094399
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-61795-2Published: 18 November 1996
eBook ISBN: 978-3-540-69997-2Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: CCCLII, 338
Topics: Algebraic Geometry, Differential Geometry, Number Theory, Topological Groups, Lie Groups, Analysis

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The Geometry of some special Arithmetic Quotients

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Table of contents (7 chapters)

Front Matter

Introduction

Moduli spaces of PEL structures

Arithmetic quotients

Projective embeddings of modular varieties

The 27 lines on a cubic surface

The Burkhardt quartic

A gem of the modular universe

Back Matter

Keywords

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