Riemann-Roch Theorem: Complex Analysis, Algebraic Geometry, Meromorphic Function, Pole (Complex Analysis), Compact Space - Brossura

 
9786132963628: Riemann-Roch Theorem: Complex Analysis, Algebraic Geometry, Meromorphic Function, Pole (Complex Analysis), Compact Space

Sinossi

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Riemann-Roch theorem is an important tool in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles. It relates the complex analysis of a connected compact Riemann surface with the surface's purely topological genus g, in a way that can be carried over into purely algebraic settings. Initially proved as Riemann's inequality by Riemann (1857), the theorem reached its definitive form for Riemann surfaces after work of Riemann's short-lived student Gustav Roch (1865). It was later generalized to algebraic curves, to higher-dimensional varieties and beyond.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9786131266003: Riemann-Roch Theorem: Complex Analysis, Algebraic Geometry

Edizione in evidenza

ISBN 10:  613126600X ISBN 13:  9786131266003
Casa editrice: OmniScriptum, 2026
Brossura