LEADER 03328nam 2200733Ia 450 001 9910815293003321 005 20200520144314.0 010 $a1-107-15225-9 010 $a1-280-43486-4 010 $a9786610434862 010 $a0-511-18387-9 010 $a0-511-13947-0 010 $a0-511-14061-4 010 $a0-511-30918-X 010 $a0-511-54287-9 010 $a0-511-13984-5 035 $a(CKB)1000000000352665 035 $a(EBL)244411 035 $a(OCoLC)171137932 035 $a(SSID)ssj0000170056 035 $a(PQKBManifestationID)11178766 035 $a(PQKBTitleCode)TC0000170056 035 $a(PQKBWorkID)10215237 035 $a(PQKB)10581221 035 $a(UkCbUP)CR9780511542879 035 $a(Au-PeEL)EBL244411 035 $a(CaPaEBR)ebr10129127 035 $a(CaONFJC)MIL43486 035 $a(OCoLC)935228920 035 $a(MiAaPQ)EBC244411 035 $a(PPN)190408081 035 $a(EXLCZ)991000000000352665 100 $a20050704d2006 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHeights in diophantine geometry /$fEnrico Bombieri, Walter Gubler 205 $a1st ed. 210 $aCambridge $cCambridge University Press$d2006 215 $a1 online resource (xvi, 652 pages) $cdigital, PDF file(s) 225 1 $aNew mathematical monographs ;$v4 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-71229-7 311 $a0-521-84615-3 320 $aIncludes bibliographical references and index. 327 $aHeights -- Weil heights -- Linear tori -- Small points -- The unit equation -- Roth's theorem -- The subspace theorem -- Abelian varieties -- Neron-Tate heights -- The Mordell-Weil theorem -- Falting's theorem -- The abc-conjecture -- Nevalinna theory -- The Vojta conjectures. 330 $aDiophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and give a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first time. The book concludes with a comprehensive bibliography. It is destined to be a definitive reference on modern diophantine geometry, bringing a new standard of rigor and elegance to the field. 410 0$aNew mathematical monographs ;$v4. 606 $aArithmetical algebraic geometry 606 $aMathematics 615 0$aArithmetical algebraic geometry. 615 0$aMathematics. 676 $a516.35 700 $aBombieri$b Enrico$f1940-$066410 701 $aGubler$b Walter$0726292 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910815293003321 996 $aHeights in diophantine geometry$91425224 997 $aUNINA