|
|
|||
|
||||
OverviewFull Product DetailsAuthor: Gerd Faltings , Gerd Faltings , Gisbert WustholzPublisher: Springer Fachmedien Wiesbaden Imprint: Vieweg+Teubner Verlag Edition: 1984 ed. Dimensions: Width: 17.00cm , Height: 1.40cm , Length: 24.40cm Weight: 0.488kg ISBN: 9783528085933ISBN 10: 3528085932 Pages: 268 Publication Date: 01 January 1984 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Language: German Table of ContentsI: Moduli Spaces.- 1 Introduction.- 2 Generalities about moduli-Spaces.- 3 Examples.- 4 Metrics with logarithmic singularities.- 5 The minimal compact if ication of Ag/?.- 6 The toroidal compactification.- II: Heights.- 1 The definition.- 2 Neron-Tate heights.- 3 Heights on the moduli-space.- 4 Applications.- III: Some Facts from the Theory of Group Schemes.- 0 Introduction.- 1 Generalities on group schemes.- 2 Finite group schemes.- 3 p-divisible groups.- 4 A theorem of Raynaud.- 5 A theorem of Tate.- IV: Tate's Conjecture on the Endomorphisms of Abelian Varieties.- 1 Statements.- 2 Reductions.- 3 Heights.- 4 Variants.- V: The Finiteness Theorems of Faltings.- 1 Introduction.- 2 The finiteness theorem for isogeny classes.- 3 The finiteness theorem for isomorphism classes.- 4 Proof of Mordell's conjecture.- 5 Siegel's Theorem on integer points.- VI: Complements.- 1 Introduction.- 2 Preliminaries.- 3 The Tate-conjecture.- 4 The Shafarevich-conjecture.- 5 Endomorphisms.- 6 Effectivity.- VII: Intersection Theory on Arithmetic Surfaces.- 0 Introduction.- 1 Hermitian line bundies.- 2 Arakelov-divisors and intersection theory.- 3 Volume forms on IRr(X, ?).- 4 Riemann-Roch.- 5 The Hodge index theorem.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |