TY  - BOOK
AU  - Chai,Ching-Li
TI  - Compactification of Siegel moduli schemes
T2  - London Mathematical Society lecture note series
SN  - 9780511721298 (ebook)
AV  - QA331 .C4395 1985
U1  - 515.7 19
PY  - 1985///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Moduli theory
KW  - Functions, Theta
KW  - Forms, Modular
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Introduction --; 1; Review of the Siegel moduli schemes --; 2; Analytic quotient construction of families of degenerating abelian varieties --; 3; Test families as co-ordinates at the boundary --; 4; Propagation of Tai's theorem to positive characteristics --; 5; Application to Siegel modular forms --; Appendixes
N2  - The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2).  This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms
UR  - https://doi.org/10.1017/CBO9780511721298
ER  -