huayi chen (7 Ergebnisse)

Zustand: New. In.

Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03104 9789811517273 Sprache: Englisch Gewicht in Gramm: 1050.

Paperback. Zustand: Brand New. 450 pages. 9.00x6.00x1.00 inches. In Stock.

hardcover. Zustand: Fine.

Taschenbuch. Zustand: Neu. Arakelov Geometry over Adelic Curves | Huayi Chen (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xviii | Englisch | 2020 | Springer | EAN 9789811517273 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions. By adelic curve is meant a field equipped with a family of absolute values parametrized by a measure space, such that the logarithmic absolute value of each non-zero element of the field is an integrable function on the measure space. In the literature, such construction has been discussed in various settings which are apparently transversal to each other. The authors first formalize the notion of adelic curves and discuss in a systematic way its algebraic covers, which are important in the study of height theory of algebraic points beyond Weil-Lang's height theory. They then establish a theory of adelic vector bundles on adelic curves, which considerably generalizes the classic geometry of vector bundles or that of Hermitian vector bundles over an arithmetic curve. They focus on ananalogue of the slope theory in the setting of adelic curves and in particular estimate the minimal slope of tensor product adelic vector bundles. Finally, by using the adelic vector bundles as a tool, a birational Arakelov geometry for projective variety over an adelic curve is developed. As an application, a vast generalization of Nakai-Moishezon's criterion of positivity is proven in clarifying the arguments of geometric nature from several fundamental results in the classic geometry of numbers.Assuming basic knowledge of algebraic geometry and algebraic number theory, the book is almost self-contained. It is suitable for researchers in arithmetic geometry as well as graduate students focusing on these topics for their doctoral theses.

Hardcover. Zustand: Brand New. 200 pages. 9.25x6.10x9.33 inches. In Stock.