Twisted L-Functions and Monodromy. (AM-150) PDF (Adobe DRM) download by Nicholas M. Katz

Twisted L-Functions and Monodromy. (AM-150)

Princeton University Press
Publication date: February 2002
ISBN: 9781400824885
Digital Book format: PDF (Adobe DRM)


List price:
Our price:

You save: $5.01 (6%)
Join our Facebook sweepstake, share and
get 10 likes. Winners
get notified in 24H!

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.

Please sign in to review this product.
Twisted L-Functions and Monodromy. (AM-150) PDF (Adobe DRM) can be read on any device that can open PDF (Adobe DRM) files.

File Size:
864 Kb
Copy From Text:
Other books by Nicholas M. Katz
Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180): Sato-Tate Theorems for Finite-Field Mellin Transform ePub (Adobe DRM) download by Nicholas M. Katz
Convolution and Equidistribution
Nicholas M. Katz
Princeton University Press, January 2012
ISBN: 9780691153315
Format: ePub
List Price: $87.00 Our price: $81.99