Vår 2016

MAT-3303 Algebraic Geometry - 10 stp

The course is administrated by

Institutt for matematikk og statistikk

Type of course

The course is included in the study program Mathematics - master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course overlap

MAT-8303 Algebraic Geometry 10 stp

Course contents

For students interested in algebra, algebraic geometry or closely related areas. Covers affine and projective varieties, affine and projective plane curves, the theorem of Bezout, morphisms, singularities and the theorem of Riemann-Roch. The courses emphasises both theoretical grasp and problem-solving skills.

Application deadline

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-3300 Algebra 2. Application code is 9371.

Objective of the course

The candidate shall:

obtain solod knowledge in the theory of affine and projective varieties, affine and projective plane curves.
know the theorem of Bezout, morphisms, singularities and the theorem of Riemann-Roch for curves
be able to solve concrete problems in the topics mentioned above

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h
Coursework: 30 h

Assessment

Oral exam. Letter grades (A-F).

Coursework requirements
A passing grade is required on the mandatory homework sets for permission to take the exam.