Lectures on the Mordell-Weil Theorem: E 15 (Aspects of Mathematics, E 15) - Image 1

£54.99

Wiley Lectures on the Mordell-Weil Theorem: E 15 (Aspects of Mathematics, E 15)

Name: Lectures on the Mordell-Weil Theorem: E 15 (Aspects of Mathematics, E 15)
Brand: Wiley
Price: 54.94 GBP
Availability: InStock

Ill.

Geometry & Topology

Price History & Forecast

Last 67 days • 67 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 67 days • 1 price levels

Days at Price

Price Analysis

Most common price: £55 (67 days, 100.0%)

Price range: £55 - £55

Price levels: 1 different prices over 67 days

Description

This is a translation of "Auto ur du theoreme de Mordell-Weil", a course given by J . -P. Serre at the College de France in 1980 and 1981. These notes were originally written weekly by Michel Waldschmidt and have been reproduced by Publications Mathematiques de l'Universite de Paris VI, by photocopying the handwritten manuscript. The present translation follows roughly the French text, with many modi fications and rearrangements. We have not tried to give a detailed account of the new results due to Faltings, Raynaud, Gross-Zagier . . . ; we have just mentioned them in notes at the appropriate places, and given bibliographical references. Paris, Fall 1988 M. L. Brown J. -P. Serre VII CONTENTS 1. Summary. 1 1. 1. Heights. 3 1. 2. The Mordell-Weil theorem and Mordell's conjecture. 3 1. 3. Integral points on algebraic curves. Siegel's theorem. 4 1. 4. Balcer's method. 5 1. 5. Hilbert's irreducibility theorem. Sieves. 5 2. Heights. 7 2. 1. The product formula. 7 2. 2. Heights on Pm(K). 10 2. 3. Properties of heights. 13 2. 4. Northcott's finiteness theorem. 16 2. 5. Quantitative form of Northcott's theorem. 17 2. 6. Height associated to a morphism rj; : X -t P . 19 n 2. 7. The group Pic(X). 20 2. 8. Heights and line bundles. 22 2. 9. hc = 0(1) {:} c is of finite order (number fields). 24 2. 10. Positivity of the height. 24 2. 11. Divisors algebraically equivalent to zero.

Product Specifications

Brand: Wiley
Model: Ill.
Format: paperback
ASIN: 3528089687
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 01 January 1989
Listed Since: 16 December 2006

Barcode

No barcode data available

Wiley Lectures on the Mordell-Weil Theorem: E 15 (Aspects of Mathematics, E 15)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Oeuvres Scientifiques - Collected Papers III: 1964-1978 (Springer Collected Works in Mathematics)

The Geometric and Arithmetic Volume of Shimura Varieties of Orthogonal Type (Crm Monograph) (CRM Monograph Series)

Valued Fields (Springer Monographs in Mathematics)

Vorlesungen über das Ikosaeder: und die Auflösung der Gleichungen vom fünften Grade

Valuations, Orderings, and Milnor $K$-Theory (Memoirs of the American Mathematical Society) (Mathematical Surveys and Monographs)

Advances in the Theory of Automorphic Forms and Their $L$-functions: 664 (Contemporary Mathematics)

Groups as Galois Groups: An Introduction: 53 (Cambridge Studies in Advanced Mathematics, Series Number 53)

Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday

Oeuvres Scientifiques - Collected Papers I: 1926-1951 (Springer Collected Works in Mathematics)

Groups as Galois Groups: An Introduction: 53 (Cambridge Studies in Advanced Mathematics, Series Number 53)

Field and Galois Theory: 167 (Graduate Texts in Mathematics, 167)

Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures: 113 (Cambridge Tracts in Mathematics, Series Number 113)

Undergraduate Commutative Algebra: 29 (London Mathematical Society Student Texts, Series Number 29)

Automorphic Forms and Galois Representations: 415 (London Mathematical Society Lecture Note Series, Series Number 415)

p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

Algebraic Theory of Locally Nilpotent Derivations: 136 (Encyclopaedia of Mathematical Sciences, 136)

Lectures on Arakelov Geometry: 33 (Cambridge Studies in Advanced Mathematics, Series Number 33)

Characters of Solvable Groups (Graduate Studies in Mathematics)

Classifying Spaces of Degenerating Polarized Hodge Structures (Annals of Mathematics Studies, 169)

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

Galois Theory: 1998 (Universitext)

Lecture Notes On Algebraic Structure Of Lattice-Ordered Rings

Algebraic Cycles and Motives: 2: 344 (London Mathematical Society Lecture Note Series, Series Number 344)

Non-abelian Fundamental Groups and Iwasawa Theory: 393 (London Mathematical Society Lecture Note Series, Series Number 393)