The Geometry of some special Arithmetic Quotients
Hunt, Bruce.
The Geometry of some special Arithmetic Quotients [electronic resource] / by Bruce Hunt. - CCCLII, 338 p. online resource. - Lecture Notes in Mathematics, 1637 0075-8434 ; . - Lecture Notes in Mathematics, 1637 .
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.
9783540699972
10.1007/BFb0094399 doi
Geometry, algebraic.
Global differential geometry.
Number theory.
Topological Groups.
Global analysis (Mathematics).
Algebraic Geometry.
Differential Geometry.
Number Theory.
Topological Groups, Lie Groups.
Analysis.
QA564-609
516.35
The Geometry of some special Arithmetic Quotients [electronic resource] / by Bruce Hunt. - CCCLII, 338 p. online resource. - Lecture Notes in Mathematics, 1637 0075-8434 ; . - Lecture Notes in Mathematics, 1637 .
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.
9783540699972
10.1007/BFb0094399 doi
Geometry, algebraic.
Global differential geometry.
Number theory.
Topological Groups.
Global analysis (Mathematics).
Algebraic Geometry.
Differential Geometry.
Number Theory.
Topological Groups, Lie Groups.
Analysis.
QA564-609
516.35