M8140 Algebraic Geometry

Faculty of Science
Spring 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:
M8140/01: Mon 11:00–11:50 MS1,01016, L. Vokřínek
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
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.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2000, Autumn 2000, Spring 2002, Spring 2004, Spring 2006, Spring 2008, Spring 2010, Spring 2012, spring 2012 - acreditation, Spring 2014, spring 2018, Spring 2020, Spring 2022, Spring 2024.
  • Enrolment Statistics (Spring 2016, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2016/M8140