Introduction to Abelian Varieties
Book Details
Format
Paperback / Softback
Book Series
CRM Monograph Series
ISBN-10
0821811797
ISBN-13
9780821811795
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Aug 30th, 1993
Weight
236 grams
Product Classification:
AlgebraNumber theoryComplex analysis, complex variablesGeometry
Ksh 7,550.00
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Gives an introduction to the theory of abelian varieties with a view to arithmetic. This title intends to introduce some of the basics of the theory as well as some arithmetic applications to graduate students and researchers in other fields. It also discusses Jacobians of Fermat curves as well as some modular curves.
''The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the Abel-Jacobi theorem, Riemann''s relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang''s book ""Introduction to Algebraic and Abelian Functions"". Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application, Faltings'' proof of the Mordell conjecture and its intermediate steps, the Tate conjecture and the Shafarevich conjecture, are sketched'' - H. Lange for ""MathSciNet"".
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