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The Geometry of Some Special Arithmetic Quotients

The Geometry of Some Special Arithmetic Quotients

Paperback

Series: Lecture Notes in Mathematics, Book 1637

General MathematicsGeometry

ISBN10: 3540617957
ISBN13: 9783540617952
Publisher: Springer Nature
Published: Nov 18 1996
Pages: 338
Weight: 1.10
Height: 0.74 Width: 6.14 Depth: 9.21
Language: English
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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