Twisted L-Functions and Monodromy by Nicholas M. Katz
Look inside with Google Book Preview
Twisted L-Functions and Monodromy
By Nicholas M. Katz

Twisted L-Functions and Monodromy

By (author) See other recent books by Nicholas M. Katz
Format: Paperback

Normal Price: $151.00
Your Price: $135.90 AUD, inc. GST
Shipping: $7.95 per order
You Save: $15.10! (10% off normal price)
Plus...earn $6.80 in Boomerang Bucks
Availability: Available Available to Backorder, No Due Date for Supply, Not for Xmas



Twisted L-Functions and Monodromy by Nicholas M. Katz

Book Description

For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves? Nicholas Katz answers these questions for families of "big" twists of elliptic curves in the function field case (with a growing constant field). The monodromy-theoretic methods he develops turn out to apply, still in the function field case, equally well to families of big twists of objects of all sorts, not just to elliptic curves. The leisurely, lucid introduction gives the reader a clear picture of what is known and what is unknown at present, and situates the problems solved in this book within the broader context of the overall study of elliptic curves. The book's technical core makes use of, and explains, various advanced topics ranging from recent results in finite group theory to the machinery of l-adic cohomology and monodromy. Twisted L-Functions and Monodromy is essential reading for anyone interested in number theory and algebraic geometry.

Buy Twisted L-Functions and Monodromy book by Nicholas M. Katz from Australia's Online Bookstore, Boomerang Books.


Book Details

ISBN: 9780691091518
ISBN-10: 069109151X
Format: Paperback
(229mm x 152mm x 13mm)
Pages: 264
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 4-Feb-2002
Country of Publication: United States

Other Editions...


Books By Author Nicholas M. Katz

Convolution and Equidistribution by Nicholas M. Katz Convolution and Equidistribution, Paperback (January 2012)

Explores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a categorical point of view. This book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.

Moments, Monodromy, and Perversity by Nicholas M. Katz Moments, Monodromy, and Perversity, Paperback (September 2005)

Develops techniques based on two ingredients: the theory of perverse sheaves and Larsen's Alternative. These techniques are then used to calculate the geometric monodromy groups attached to some specific universal families of (L-functions attached to) character sums over finite fields.

Rigid Local Systems by Nicholas M. Katz Rigid Local Systems, Paperback (December 1995)

The author introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise.

Exponential Sums and Differential Equations by Nicholas M. Katz Exponential Sums and Differential Equations, Paperback (September 1990)

Deals with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. This book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G).

» View all books by Nicholas M. Katz

Reviews

» Have you read this book? We'd like to know what you think about it - write a review about Twisted L-Functions and Monodromy book by Nicholas M. Katz and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)

Write a book review


Boomerang Bucks close

For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.

Recent books by Nicholas M. Katz close
Convolution and Equidistribution by Nicholas M. Katz
Moments, Monodromy, and Perversity by Nicholas M. Katz
Rigid Local Systems by Nicholas M. Katz
Exponential Sums and Differential Equations by Nicholas M. Katz
Gauss Sums, Kloosterman Sums, and Monodromy Groups by Nicholas M. Katz
Arithmetic Moduli of Elliptic Curves by Nicholas M. Katz
»
BoomerangBooks.com.au close