Course: Algebraic Geometry

« Back
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 Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Jukl Marek, doc. RNDr. Ph.D.
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
  • Fulton W. (1969). Algebraic curves. An introduction to algebraic geometry. New York, Benjamin.
  • Hartshorne R. (1992). Algebraic Geometry. Springer.
  • Liu Qing. (2006). Algebraic Geometry and Arithmetic Curves. Oxford Univ.Press.


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