Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics, 1849, Band 1849) - Softcover

Brown, Martin L.

 
9783540222903: Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics, 1849, Band 1849)
Softcover
ISBN 10: 3540222901 ISBN 13: 9783540222903
Verlag: Springer, 2008

Inhaltsangabe

Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields, this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540222901
ISBN 13 
9783540222903
Einband
Taschenbuch
Anzahl der Seiten
532
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland