Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorFaltings, Gerd. author
TitleRational Points [electronic resource] : Seminar Bonn/Wuppertal 1983/84 / by Gerd Faltings, Gisbert Wรผstholz
ImprintWiesbaden : Vieweg+Teubner Verlag, 1992
Edition Third Enlarged Edition
Connect tohttp://dx.doi.org/10.1007/978-3-322-80340-5
Descript XI, 312 p. online resource

CONTENT

I: Moduli Spaces -- ยง 1 Introduction -- ยง 2 Generalities about moduli spaces -- ยง 3 Examples -- ยง 4 Metrics with logarithmic singularities -- ยง 5 The minimal compactification of Ag/? -- ยง 8 The toroidal compactification -- II: Heights -- ยง 1 The definition -- ยง 2 Nรฉron-Tate heights -- ยง 3 Heights on the moduli space -- ยง 4 Applications -- III: Some Facts from the Theory of Group Schemes -- ยง 0 Introduction -- ยง 1 Generalities on group schemes -- ยง 2 Finite group schemes -- ยง 3 p-divisible groups -- ยง 4 A theorem of Raynaud -- ยง 5 A theorem of Tate -- IV: Tateโ{128}{153}s Conjecture on the Endomorphisms of Abelian Varieties -- ยง 1 Statements -- ยง 2 Reductions -- ยง 3 Heights -- ยง 4 Variants -- V: The Finiteness Theorems of Faltings -- ยง 1 Introduction -- ยง 2 The finiteness theorem for isogeny classes -- ยง 3 The finiteness theorem for isomorphism classes -- ยง 4 Proof of Mordellโ{128}{153}s conjecture -- ยง 5 Siegelโ{128}{153}s Theorem on integer points -- VI: Complements to Mordell -- ยง 1 Introduction -- ยง 2 Preliminaries -- ยง 3 The Tate conjecture -- ยง 4 The Shafarevich conjecture -- ยง 5 Endomorphisms -- ยง 6 Effectivity -- VII: Intersection Theory on Arithmetic Surfaces -- ยง 0 Introduction -- ยง 1 Hermitian line bundles -- ยง 2 Arakelov divisors and intersection theory -- ยง 3 Volume forms on IR?(X, ?) -- ยง 4 Riemann Roch -- ยง 5 The Hodge index theorem -- Appendix: New Developments in Diophantine and Arithmetic Algebraic Geometry (Gisbert Wรผstholz) -- ยง 2 The transcendental approach -- ยง 3 Vojtaโ{128}{153}s approach -- ยง 4 Arithmetic Riemann-Roch Theorem -- ยง 5 Applications in Arithmetic -- ยง 6 Small sections -- ยง 7 Vojtaโ{128}{153}s proof in the number field case -- ยง 8 Langโ{128}{153}s conjecture -- ยง 9 Proof of Faltingsโ{128}{153} theorem -- ยง 10 An elementary proof of Mordellโ{128}{153}s conjecture -- ยง 11 ?-adic representations attached to abelian varieties


Mathematics Difference equations Functional equations Geometry Number theory Mathematics Number Theory Geometry Difference and Functional Equations



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram