Subjects

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Curves and Function Fields - NMAG436

Title:	Křivky a funkční tělesa
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2013 to 2016
Semester:	summer
E-Credits:	6
Hours per week, examination:	summer s.:4/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
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
Is interchangeable with:	NMIB013

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: doc. 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: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (18.02.2020)

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: doc. 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.