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  • Book
  • © 1996

The Geometry of some special Arithmetic Quotients

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1637)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Bruce Hunt
    Pages 1-14
  3. Moduli spaces of PEL structures

    • Bruce Hunt
    Pages 15-35
  4. Arithmetic quotients

    • Bruce Hunt
    Pages 36-65
  5. The 27 lines on a cubic surface

    • Bruce Hunt
    Pages 108-167
  6. The Burkhardt quartic

    • Bruce Hunt
    Pages 168-221
  7. A gem of the modular universe

    • Bruce Hunt
    Pages 222-254
  8. Back Matter

    Pages 255-334

About this book

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.

Keywords

  • K3 surfaces
  • Moduli spaces
  • abelian varieties
  • algebraic equations
  • algebraic varieties
  • cubic surfaces

Bibliographic Information

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions