SubjectsSubjects(version: 806)
Course, academic year 2017/2018
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Curves and Function Fields - NMAG436
Czech title: Křivky a funkční tělesa
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: summer
E-Credits: 6
Hours per week, examination: summer s.:4/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: prof. RNDr. Aleš Drápal, CSc., DSc.
Class: M Mgr. MMIB
M Mgr. MMIB > Povinně volitelné
M Mgr. MSTR
M Mgr. MSTR > Povinně volitelné
Classification: Mathematics > Algebra
Incompatibility : NMIB013
Interchangeability : NMIB013
Annotation -
Last update: Mgr. et Mgr. Jan Žemlička, Ph.D. (13.09.2013)

The course develops basic concepts of algebraic geometry and curve theory, both over general fields and over finite fields.
Literature -
Last update: Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)

H. Stichtenoth: Algebraic function fields and codes Graduate texts in mathematics – Svazek 254, Springer, 2009

R. Hartshorne, Algebraic geometry Graduate Texts in Mathematics – Svazek 52, Springer 1977

Syllabus -
Last update: Mgr. et Mgr. Jan Žemlička, Ph.D. (13.09.2013)

The course develops basic theory of algebraic function fields (Riemann-Roch Theorem etc.) and shows links to function fields of curves. The final part of the course is devoted to elliptic function fields.

 
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