LEADER 03083nam 2200589 450 001 996466667103316 005 20220917095755.0 010 $a3-540-47909-0 024 7 $a10.1007/BFb0084727 035 $a(CKB)1000000000437152 035 $a(SSID)ssj0000321390 035 $a(PQKBManifestationID)12068488 035 $a(PQKBTitleCode)TC0000321390 035 $a(PQKBWorkID)10279841 035 $a(PQKB)10301816 035 $a(DE-He213)978-3-540-47909-3 035 $a(MiAaPQ)EBC5585650 035 $a(Au-PeEL)EBL5585650 035 $a(OCoLC)1066192699 035 $a(MiAaPQ)EBC6873237 035 $a(Au-PeEL)EBL6873237 035 $a(PPN)155164368 035 $a(EXLCZ)991000000000437152 100 $a20220917d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aArithmetic algebraic geometry $electures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E. ) held in Trento, Italy, June 24-July 2 1991 /$fEdoardo Ballico [and three others], editors 205 $a1st ed. 1993. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1993] 210 4$d©1993 215 $a1 online resource (X, 226 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1553 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57110-8 327 $aCycles 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. 330 $aThis volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. Colliot-Thelene: Cycles algebriques de torsion et K-theorie algebrique.- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1553. 606 $aGeometry, Algebraic$vCongresses 615 0$aGeometry, Algebraic 676 $a516.35 702 $aBallico$b E$g(Edoardo),$f1955- 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466667103316 996 $aArithmetic algebraic geometry$9376396 997 $aUNISA