Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series)

0 avg rating
( 0 ratings by Goodreads )
 
9780521728669: Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series)
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

Book Description:

The arithmetic of modular forms and elliptic curves is a central topic in modern number theory, and both graduate students and professional number theorists will find much to interest them in this book. The results proved here have particular relevance to the 'ordinary component' of the Birch and Swinnerton-Dyer formula.

About the Author:

Daniel Delbourgo is Senior Lecturer in the School of Mathematical Sciences at Monash University in Australia.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Daniel Delbourgo
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Paperback Quantity Available: 1
Seller:
LIMEROCK BOOKS INC.
(SARASOTA, FL, U.S.A.)
Rating
[?]

Book Description Paperback. Condition: New. This Book is in Good Condition; Customer Satisfaction Comes First.Delivery Time 4-12 days. 100% Money back Guaranteed!!!. Seller Inventory # 0521728665

More information about this seller | Contact this seller

Buy New
US$ 32.00
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Daniel Delbourgo
Published by Cambridge University Press (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Softcover First Edition Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Cambridge University Press, 2008. Condition: New. book. Seller Inventory # M0521728665

More information about this seller | Contact this seller

Buy New
US$ 68.70
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

Delbourgo, Daniel
Published by Cambridge University Press (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Paperback Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Cambridge University Press, 2008. Paperback. Condition: New. Never used!. Seller Inventory # P110521728665

More information about this seller | Contact this seller

Buy New
US$ 76.01
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

4.

Daniel Delbourgo
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Paperback Quantity Available: 10
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAA9780521728669

More information about this seller | Contact this seller

Buy New
US$ 81.16
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Daniel Delbourgo
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Paperback Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAA9780521728669

More information about this seller | Contact this seller

Buy New
US$ 83.91
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Delbourgo, Daniel
Published by Cambridge University Press (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Quantity Available: 14
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2008. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # FM-9780521728669

More information about this seller | Contact this seller

Buy New
US$ 71.60
Convert Currency

Add to Basket

Shipping: US$ 12.54
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Delbourgo, Daniel
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Quantity Available: 5
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 2008. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Seller Inventory # VM-9780521728669

More information about this seller | Contact this seller

Buy New
US$ 81.11
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

Delbourgo, Daniel
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Quantity Available: 5
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 2008. PAP. Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Seller Inventory # IB-9780521728669

More information about this seller | Contact this seller

Buy New
US$ 82.33
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

9.

Daniel Delbourgo
Published by Cambridge University Press 2008 (2008)
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Softcover Quantity Available: 1
Seller:
Robin Summers
(Aldeburgh, United Kingdom)
Rating
[?]

Book Description Cambridge University Press 2008, 2008. Condition: New. New paperback. May show some slight shelf wear but content fine and unread. Seller Inventory # A151444

More information about this seller | Contact this seller

Buy New
US$ 71.94
Convert Currency

Add to Basket

Shipping: US$ 18.09
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Delbourgo, Daniel
Published by Cambridge University Press
ISBN 10: 0521728665 ISBN 13: 9780521728669
New Softcover Quantity Available: 1
Seller:
Ohmsoft LLC
(Lake Forest, IL, U.S.A.)
Rating
[?]

Book Description Cambridge University Press. Condition: New. Paperback. Worldwide shipping. FREE fast shipping inside USA (express 2-3 day delivery also available). Tracking service included. Ships from United States of America. Seller Inventory # 0521728665

More information about this seller | Contact this seller

Buy New
US$ 93.30
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book