Author | Hunt, Bruce. author |
---|---|

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

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1996 |

Connect to | http://dx.doi.org/10.1007/BFb0094399 |

Descript | CCCLII, 338 p. online resource |

SUMMARY

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

CONTENT

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