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024 7 _a10.1007/BFb0084727
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072 7 _aMAT012010
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100 1 _aColliot-Thélène, Jean-Louis.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aArithmetic Algebraic Geometry
_h[electronic resource] :
_bLectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June 24–July 2, 1991 /
_cby Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta ; edited by Edoardo Ballico.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1993.
300 _aX, 226 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v1553
505 0 _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.
520 _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.
650 0 _aGeometry, algebraic.
650 0 _aNumber theory.
650 1 4 _aAlgebraic Geometry.
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650 2 4 _aNumber Theory.
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700 1 _aKato, Kazuya.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aVojta, Paul.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aBallico, Edoardo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662170724
776 0 8 _iPrinted edition:
_z9783540571100
830 0 _aC.I.M.E. Foundation Subseries ;
_v1553
856 4 0 _uhttps://doi.org/10.1007/BFb0084727
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