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Author : Ching-Li Chai
Release : 1985-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 530/5 ( reviews)
Book Synopsis Compactification of Siegel Moduli Schemes by : Ching-Li Chai
Download or read book Compactification of Siegel Moduli Schemes written by Ching-Li Chai. This book was released on 1985-12-12. Available in PDF, EPUB and Kindle. Book excerpt: The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).
Author : Ching-Li Chai
Release : 2014-05-14
Genre : MATHEMATICS
Kind : eBook
Book Rating : 675/5 ( reviews)
Book Synopsis Compactification of Siegel Moduli Schemes by : Ching-Li Chai
Download or read book Compactification of Siegel Moduli Schemes written by Ching-Li Chai. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).
Author : Ching-Li Chai
Release : 1985-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 530/5 ( reviews)
Book Synopsis Compactification of Siegel Moduli Schemes by : Ching-Li Chai
Download or read book Compactification of Siegel Moduli Schemes written by Ching-Li Chai. This book was released on 1985-12-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Gerard van der Geer
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)
Book Synopsis Moduli of Abelian Varieties by : Gerard van der Geer
Download or read book Moduli of Abelian Varieties written by Gerard van der Geer. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.
Author : Martin C. Olsson
Release : 2008-08-25
Genre : Mathematics
Kind : eBook
Book Rating : 18X/5 ( reviews)
Book Synopsis Compactifying Moduli Spaces for Abelian Varieties by : Martin C. Olsson
Download or read book Compactifying Moduli Spaces for Abelian Varieties written by Martin C. Olsson. This book was released on 2008-08-25. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
