Mordell-Weil lattices / Matthias Schütt, Tetsuji Shioda.

This book lays out the theory of Mordell-Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which offers many fruitful connections to other areas of mathematics. The book presents all the ingredients entering into the theory of Mordell-Weil...

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Bibliographic Details
Main Authors: Schütt, Matthias, 1977- (Author), Shioda, T., 1940- (Author)
Format: Book
Language:English
Published: Singapore : Springer, [2019]
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 70.
Subjects:
Table of Contents:
  • Lattices
  • Elliptic curves
  • Algebraic surfaces
  • Elliptic surfaces
  • Mordell-Weil Lattices
  • Rational elliptic surfaces
  • Rational elliptic surfaces and E8-hierarchy
  • Galois representations and algebraic equations
  • Applications to classical topics
  • Elliptic K3 surfaces : basics
  • Elliptic K3 surfaces : special topics
  • Ranks and sphere packings.