Hall, Chris ; Perucca, Antonella
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Comptes Rendus. Mathématique |
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| Verlag: | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER |
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| Ort der Veröffentlichung: | PARIS |
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| Band: | 351 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 1-2 |
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| Seitenbereich: | S. 1-3 |
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| Datum: | 2013 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.crma.2013.01.003 | DOI |
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| Stichwörter / Keywords: | ; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 62951 |
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Zusammenfassung
Let E be an elliptic curve defined over a number field K and let S be a density-one set of primes of K of good reduction for E. Faltings proved in 1983 that the K-isogeny class of E is characterized by the function p bar right arrow #E(k(p)), which maps a prime p is an element of S to the order of the group of points of E over the corresponding field k(p). We show that, in this statement, the ...
Zusammenfassung
Let E be an elliptic curve defined over a number field K and let S be a density-one set of primes of K of good reduction for E. Faltings proved in 1983 that the K-isogeny class of E is characterized by the function p bar right arrow #E(k(p)), which maps a prime p is an element of S to the order of the group of points of E over the corresponding field k(p). We show that, in this statement, the integer #E(k(p)) can be replaced by its radical. (c) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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