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AuthorHunt, Bruce. author
TitleThe Geometry of some special Arithmetic Quotients [electronic resource] / by Bruce Hunt
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1996
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Descript CCCLII, 338 p. online resource


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


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

Mathematics Algebraic geometry Topological groups Lie groups Mathematical analysis Analysis (Mathematics) Differential geometry Number theory Mathematics Algebraic Geometry Differential Geometry Number Theory Topological Groups Lie Groups Analysis


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