Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Matematik
  3. Talteori

Twisted L-Functions and Monodromy

Af: Nicholas M. Katz Engelsk Paperback

Twisted L-Functions and Monodromy

Af: Nicholas M. Katz Engelsk Paperback
Tjek vores konkurrenters priser

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.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 911
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 264
ISBN-13: 9780691091518
Indbinding: Paperback
Udgave:
ISBN-10: 069109151X
Kategori: Talteori
Udg. Dato: 24 feb 2002
Længde: 0mm
Bredde: 152mm
Højde: 235mm
Forlag: Princeton University Press
Oplagsdato: 24 feb 2002
Forfatter(e): Nicholas M. Katz
Forfatter(e) Nicholas M. Katz

Kategori Talteori

ISBN-13 9780691091518

Sprog Engelsk

Indbinding Paperback

Sider 264

Udgave

Længde 0mm

Bredde 152mm

Højde 235mm

Udg. Dato 24 feb 2002

Oplagsdato 24 feb 2002

Forlag Princeton University Press

Kategori sammenhænge