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Quaternion Algebras

Produktform: Buch / Einband - fest (Hardcover)

Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-030-56692-0 / 978-3030566920 / 9783030566920

Verlag: Springer International Publishing

Erscheinungsdatum: 29.06.2021

Seiten: 885

Auflage: 1

Autor(en): John Voight

53,49 € inkl. MwSt.
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