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Record Nr. |
UNISA996466667103316 |
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Titolo |
Arithmetic algebraic geometry : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E. ) held in Trento, Italy, June 24-July 2 1991 / / Edoardo Ballico [and three others], editors |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [1993] |
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©1993 |
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ISBN |
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Edizione |
[1st ed. 1993.] |
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Descrizione fisica |
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1 online resource (X, 226 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; Volume 1553 |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Cycles algébriques de torsion et K-théorie algébrique Cours au C.I.M.E., juin 1991 -- Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via BdR. Part I -- Applications of arithmetic algebraic geometry to diophantine approximations -- Arithmetic algebraic geometry, Trento, Italy 1991. |
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Sommario/riassunto |
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This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. Colliot-Thelene: Cycles algebriques de torsion et K-theorie algebrique.- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations. |
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