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Mordell-weil Lattices 1st Ed. 2019 by Schütt, Matthias, Shioda, Tetsuji is a nonfiction available to read on EtoBox.

What is Mordell-weil Lattices 1st Ed. 2019 about?

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 lattices in detail, notably, relevant portions of lattice theory, elliptic curves, and algebraic surfaces. After defining Mordell–Weil lattices, the authors provide several applications in depth. They start with the classification of rational elliptic surfaces. Then a useful connection with Galois representations is discussed. By developing the notion of excellent families, the authors are able to design many Galois representations with given Galois groups such as the Weyl groups of E 6, E 7 and E 8. They also explain a connection to the classical topic of the 27 lines on a cubic surface. Two chapters deal with elliptic K3 surfaces, a pulsating area of recent research activity which highlights many central properties of Mordell–Weil lattices. Finally, the book turns to the rank problem—one of the key motivations for the introduction of Mordell–Weil lattices. The authors present the s

Who reads Mordell-weil Lattices 1st Ed. 2019?

Author

Schütt, Matthias, Shioda, Tetsuji

Publisher

Springer Singapore : Imprint: Springer

Published

2019

Language

EN

ISBN

9789813293007

Category

nonfiction

Subjects

Mathematics, Stem