PřF:M8140 Algebraic Geometry - Course Information
M8140 Algebraic Geometry
Faculty of ScienceSpring 2016
- Extent and Intensity
- 2/1. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Recommended Type of Completion: zk (examination). Other types of completion: graded credit.
- Teacher(s)
- doc. Lukáš Vokřínek, PhD. (lecturer)
- Guaranteed by
- prof. RNDr. Jan Slovák, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 9:00–10:50 MS1,01016
- Timetable of Seminar Groups:
- Prerequisites
- Sound knowledge of algebra, linear algebra and geometry.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Algebra and Discrete Mathematics (programme PřF, N-MA)
- Geometry (programme PřF, N-MA)
- Mathematical Analysis (programme PřF, N-MA)
- Course objectives
- The lecture is a summary of basic notions of the classical algebraic geometry. Passing the course the students
*will understand the basics of the theory of affine and projective varieties and
*will be able to solve simple problems. - Syllabus
- Closed subsets in affine spaces
- Closed subsets in projective spaces
- Local properties of algebraic varieties
- Plane algebraic curves and varieties of codimension one
- Literature
- HULEK, Klaus. Elementary algebraic geometry. Translated by Helena Verrill. Providence, Rhode Island: American Mathematical Society, 2003, viii, 213. ISBN 0-8218-2952-1. info
- BUREŠ, Jarolím and Jiří VANŽURA. Algebraická geometrie. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1989, 327 s. info
- Teaching methods
- Lectures and tutorials.
- Assessment methods
- Oral examination. Requirements: to manage the theory from the lectures, to be able to solve the problems similar to those from exercises. Students may choose from two types of completion: an examination, where deeper knowledge is requested, or a graded credit - this form is recommended for students of the "Upper Secondary School Teacher" programs.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught once in two years.
- Enrolment Statistics (Spring 2016, recent)
- Permalink: https://is.muni.cz/course/sci/spring2016/M8140