Course title  Algebraic Geometry 

Course code  KAG/PGSAG 
Organizational form of instruction  Lecture 
Level of course  Doctoral 
Year of study  not specified 
Semester  Winter and summer 
Number of ECTS credits  15 
Language of instruction  Czech, English 
Status of course  unspecified 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Lecturer(s) 


Course content 
Commutative algebra  what necessary, affine and projective closed sets (varieties), Zariski topology, ideals of manifolds, irreducible decompositions, Nulstellensatz, morphisms, presheaves and sheaves, schemes, cohomologies, divisors, curves, subspaces, intersection theory, birational geometry, Grassmannians, algebraic groups.

Learning activities and teaching methods 
Lecture, Work with Text (with Book, Textbook) 
Learning outcomes 
Understand fundament of algebraic geometry.
5. Synthesis Summarize basic knowledge of algebraic geometry and applications 
Prerequisites 
Knowledge of the principles of the analytical geometry.

Assessment methods and criteria 
Oral exam
Oral exam. 
Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Branch of study Category  Recommended year of study  Recommended semester 
