03083nam 2200589 450 99646666710331620220917095755.03-540-47909-010.1007/BFb0084727(CKB)1000000000437152(SSID)ssj0000321390(PQKBManifestationID)12068488(PQKBTitleCode)TC0000321390(PQKBWorkID)10279841(PQKB)10301816(DE-He213)978-3-540-47909-3(MiAaPQ)EBC5585650(Au-PeEL)EBL5585650(OCoLC)1066192699(MiAaPQ)EBC6873237(Au-PeEL)EBL6873237(PPN)155164368(EXLCZ)99100000000043715220220917d1993 uy 0engurnn|008mamaatxtccrArithmetic 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], editors1st ed. 1993.Berlin ;Heidelberg :Springer-Verlag,[1993]©19931 online resource (X, 226 p.) Lecture Notes in Mathematics ;Volume 1553Bibliographic Level Mode of Issuance: Monograph3-540-57110-8 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.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.Lecture notes in mathematics (Springer-Verlag) ;Volume 1553.Geometry, AlgebraicCongressesGeometry, Algebraic516.35Ballico E(Edoardo),1955-Centro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK996466667103316Arithmetic algebraic geometry376396UNISA