Items related to Twisted L-Functions and Monodromy.
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Nicholas M. Katz is Professor of Mathematics at Princeton University. He is the author of four other books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; and Rigid Local Systems.
"About this title" may belong to another edition of this title.
- PublisherPrinceton University Press
- Publication date2001
- ISBN 10 069109151X
- ISBN 13 9780691091518
- BindingPaperback
- LanguageEnglish
- Number of pages237
Search results for Twisted L-Functions and Monodromy.
Stock Image
Twisted L-Functions and Mondromy
Published by
Princeton University Press, Princeton NJ, 2002
ISBN 10: 069109151X
ISBN 13: 9780691091518
Used
Paperback
Seller: Chequamegon Books, Washburn, WI, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Near Fine. This is #150 in the Annals of Mathematics Studies series. 249 pages spine area slightly sun faded. ; 6 1/8 x 9 1/4 ". Seller Inventory # 52045
Quantity: 1 available
Stock Image
Twisted L-Functions and Monodromy. (Annals of Mathematics Studies).
Published by
Princeton University Press., 2002
ISBN 10: 069109151X
ISBN 13: 9780691091518
Used
kartoniert
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
kartoniert. Condition: Sehr gut. Zust: Gutes Exemplar. 249 Seiten, Englisch 384g. Seller Inventory # 493990
Quantity: 1 available
Seller Image
Twisted L-functions and Monodromy
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
New
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 400134-n
Quantity: 1 available
Stock Image
Twisted L-Functions and Monodromy.
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
New
Softcover
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2416190101653
Quantity: Over 20 available
Seller Image
Twisted L-functions and Monodromy
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
Used
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 400134
Quantity: 1 available
Seller Image
Twisted L-functions and Monodromy
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
New
Softcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 400134-n
Quantity: 1 available
Seller Image
Twisted L-Functions and Monodromy. (AM-150), Volume 150
Published by
Princeton University Press, 2002
ISBN 10: 069109151X
ISBN 13: 9780691091518
New
Softcover
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. For hundreds of years, the study of elliptic curves has played a central role in mathematics. This book explores: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves? It is suitable for tho. Seller Inventory # 447030099
Quantity: Over 20 available
Seller Image
Twisted L-Functions and Monodromy
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9780691091518
Quantity: 1 available
Seller Image
Twisted L-functions and Monodromy
Published by
Princeton University Press, 2001
ISBN 10: 069109151X
ISBN 13: 9780691091518
Used
Softcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 400134
Quantity: 1 available
Stock Image
Twisted LFunctions and Monodromy. (AM150), Volume 150
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 237 pages. 8.75x6.00x0.50 inches. In Stock. Seller Inventory # x-069109151X
Quantity: 2 available