Summer Reading Sale
 
 

Recently Viewed clear list


Original Essays | July 24, 2014

Jessica Valenti: IMG Full Frontal Feminism Revisited



It is arguably the worst and best time to be a feminist. In the years since I first wrote Full Frontal Feminism, we've seen a huge cultural shift in... Continue »
  1. $11.90 Sale Trade Paper add to wish list

spacer

This item may be
out of stock.

Click on the button below to search for this title in other formats.


Check for Availability
Add to Wishlist

This title in other editions

Twisted L-Functions and Monodromy

Twisted L-Functions and Monodromy Cover

 

Synopses & Reviews

Publisher Comments:

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.

Product Details

ISBN:
9780691091501
Author:
Katz, Nicholas M.
Publisher:
Princeton University Press
Subject:
Number Theory
Subject:
L-functions.
Subject:
Monodromy groups.
Subject:
Mathematics
Series:
New Forum Books
Series Volume:
149
Publication Date:
20020127
Binding:
Hardback
Language:
English
Pages:
264
Dimensions:
9 x 6 in 17 oz

Related Subjects

Science and Mathematics » Mathematics » Differential Geometry

Twisted L-Functions and Monodromy
0 stars - 0 reviews
$ In Stock
Product details 264 pages Princeton University Press - English 9780691091501 Reviews:
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.