Course Catalog

MATH 636 Algebraic Function Fields	3 Credits
Places,valuation rings and discrete valuations of a function field; the rational function field; divisors, Weil different adeles, genus; Riemann-Roch Theorem and its consequences; extensions of function fields, ramification, Hurwitz genus formula; constant field extensions, Galois extensions, Kummer and Artin-Schreier extensions.
Last Offered Terms Course Name SU Credit Fall 2022-2023 Algebraic Function Fields 3 Fall 2015-2016 Algebraic Function Fields 3 Fall 2013-2014 Algebraic Function Fields 3 Fall 2010-2011 Algebraic Function Fields 3 Spring 2006-2007 Algebraic Function Fields 3 Spring 2002-2003 Algebraic Function Fields 3
Prerequisite: __
Corequisite: __
ECTS Credit: 10 ECTS (ENGINEERING: / BASIC:)
General Requirements: