The Geometry of some special Arithmetic Quotients [electronic resource] / by Bruce Hunt.

By:

Hunt, Bruce [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1637Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996Description: CCCLII, 338 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540699972

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

516.35 23

LOC classification:

QA564-609

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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.

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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.

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.

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