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Elliptic Curves and Big Galois Representations
Engelsk
Bogcover for Elliptic Curves and Big Galois Representations af Daniel Delbourgo, 9780521728669
Specifikationer
Sprog:
Engelsk
Sider:
288
ISBN-13:
9780521728669
Indbinding:
Paperback
ISBN-10:
0521728665
Kategori:
Udg. Dato:
31 jul 2008
Størrelse i cm:
22,7 x 15,3 x 1,5
Oplagsdato:
31 jul 2008
Forfatter(e):
Genre:

Elliptic Curves and Big Galois Representations

Engelsk
Paperback 2008
Format:

Bog beskrivelse
The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula. Three main steps are outlined: the first is to parametrise ''big'' cohomology groups using (deformations of) modular symbols. Finiteness results for big Selmer groups are then established. Finally, at weight two, the arithmetic invariants of these Selmer groups allow the control of data from the BSD conjecture. As the first book on the subject, the material is introduced from scratch; both graduate students and professional number theorists will find this an ideal introduction. Material at the very forefront of current research is included, and numerical examples encourage the reader to interpret abstract theorems in concrete cases.
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Specifikationer
Sprog:
Engelsk
Sider:
288
ISBN-13:
9780521728669
Indbinding:
Paperback
ISBN-10:
0521728665
Kategori:
Udg. Dato:
31 jul 2008
Størrelse i cm:
22,7 x 15,3 x 1,5
Oplagsdato:
31 jul 2008
Forfatter(e):
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