M8140 Algebraic Geometry

Faculty of Science
spring 2012 - acreditation

The information about the term spring 2012 - acreditation is not made public

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)
doc. RNDr. Martin Čadek, CSc. (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
Prerequisites
Sound knowledge of algebra, linear algebra and geometry.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The lecture is a summary of basic notions of the classical algebraic geometry. Passing the course the students *will know basics of the theory of affine and projective varieties and *will be able to solve simple problems with them.
Syllabus
  • Closed subsets in affine spaces
  • Closed subsets in projective spaces
  • Local properties of algebraic varieties
  • Plane algebraic curves and varieties of codimension one
  • Some applications
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 exercises.
Assessment methods
The students may choose either full oral exam or an easier marked assessment. The latter form is suggested to the forthcoming teachers program student.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught once in two years.
The course is taught every week.
Teacher's information
http://www.math.muni.cz/~cadek (informace budou ukládány průběžně)
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 2014, Spring 2016, spring 2018, Spring 2020, Spring 2022, Spring 2024.