02791oam 2200601 450 99646637470331620210715094233.03-540-48208-310.1007/978-3-540-48208-6(CKB)1000000000437166(SSID)ssj0000322636(PQKBManifestationID)12099108(PQKBTitleCode)TC0000322636(PQKBWorkID)10286942(PQKB)10968126(DE-He213)978-3-540-48208-6(MiAaPQ)EBC3088027(MiAaPQ)EBC6485895(PPN)155218638(EXLCZ)99100000000043716620210715d1993 uy 0engurnn#008mamaatxtccrDiophantine approximation and abelian varieties /B. Edixhoven, J. H. Evertse, editors1st ed. 1993.Berlin ;Heidelberg :Springer Verlag,[1993]©19931 online resource (XIV, 130 p.)Lecture Notes in Mathematics ;Volume 1566Bibliographic Level Mode of Issuance: Monograph3-540-57528-6 Diophantine Equations and Approximation -- Diophantine Approximation and its Applications -- Roth’s Theorem -- The Subspace Theorem of W.M. Schmidt -- Heights on Abelian Varieties -- D. Mumford’s “A Remark on Mordell’s Conjecture” -- Ample Line Bundles and Intersection Theory -- The Product Theorem -- Geometric Part of Faltings’s Proof -- Faltings’s Version of Siegel’s Lemma -- Arithmetic Part of Faltings’s Proof -- Points of Degree d on Curves over Number Fields -- “The” General Case of S. Lang’s Conjecture (after Faltings).The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.Lecture notes in mathematics (Springer-Verlag) ;Volume 1566.Diophantine approximationCongressesAbelian varietiesCongressesDiophantine approximationAbelian varieties512.7411Jxxmsc14KxxmscEdixhoven B.Evertse J. H.MiAaPQMiAaPQUtOrBLWBOOK996466374703316Diophantine approximation and abelian varieties262397UNISA