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Elliptic Curves over Number Fields with Prescribed Reduction Type: 4 (Aspects of Mathematics) - Tapa blanda
Sinopsis
Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK? The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) • In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) .
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Reseña del editor
Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK? The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) · In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) .
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Elliptic Curves over Number Fields with Prescribed Reduction Type. (= Aspects of Mathematics, Volume E 4).
Publicado por
Vieweg, Braunschweig, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
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Librería: Antiquariat Silvanus - Inhaber Johannes Schaefer, Ahrbrück, Alemania
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VI, 213 Seiten, 352808569X Sprache: Englisch Gewicht in Gramm: 320 Groß 8°, Original-Karton (Softcover), wenige Seiten mit Abdruck einer Büroklammer, insgesamt gutes und innen sauberes Exemplar, Nº de ref. del artículo: 47828
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics) (German Edition)
Publicado por
Vieweg+Teubner Verlag, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
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Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Publicado por
Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1983, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N' be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N' for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) . 213 pp. Deutsch. Nº de ref. del artículo: 9783528085698
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Publicado por
Vieweg+Teubner Verlag, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N' be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N' for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) . Nº de ref. del artículo: 9783528085698
Cantidad disponible: 1 disponibles
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Publicado por
Vieweg+Teubner Verlag 1983-01, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
PF
Librería: Chiron Media, Wallingford, Reino Unido
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PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783528085698
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Elliptic Curves over Number Fields: With Prescribed Reduction Type
Publicado por
Friedrick Vieweg & Son, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
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Librería: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, Estados Unidos de America
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Condición: Good. Friedrick Vieweg & Son, 1983. Cover very faintly soiled/rubbed, edges very faintly rubbed/bumped, otherwise intact; fore-edge ever-so-slightly soiled; binding tight; edges and interior intact and very clean except where noted. paperback. Good. Nº de ref. del artículo: 597041
Cantidad disponible: 1 disponibles
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Publicado por
Vieweg+Teubner Verlag, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 4 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1. Reduction of elliptic curves.- 2. Elliptic curves with good reduction outside a given set of prime ideals.- 3. The diophantine equation x3 ? y2 = r.- 4. Isogeny Classes.- 5. Review on explicit results.- References.- Index of special symbols.Let K. Nº de ref. del artículo: 4867346
Cantidad disponible: Más de 20 disponibles
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics) (German Edition)
Publicado por
Vieweg+Teubner Verlag, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
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Librería: California Books, Miami, FL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: I-9783528085698
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Publicado por
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jan 1983, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) ¿ In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N» be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N» for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) .Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 220 pp. Deutsch. Nº de ref. del artículo: 9783528085698
Cantidad disponible: 2 disponibles
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics) (German Edition)
Publicado por
Vieweg+Teubner Verlag, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
Antiguo o usado
Tapa blanda
Librería: Mooney's bookstore, Den Helder, Holanda
Calificación del vendedor: 4 de 5 estrellas
Condición: Very good. Nº de ref. del artículo: 9783528085698-2-2
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