Instructors: Dr. Helge Ruddat
Event type: Practical course/lab
Displayed in timetable as: M-VAlg-Ü
Hours per week: 2
Language of instruction: English
Min. | Max. participants: - | -
Comments/contents: This course is suitable for bachelor students. We mostly follow the book "Algebraic curves" by William Fulton Contents 1 Affine Algebraic Sets 2 Affine Varieties 3 Local Properties of Plane Curves 4 Projective Varieties 5 Projective Plane Curves 6 Varieties, Morphisms, and Rational Maps 7 Resolution of Singularities 8 Riemann-Roch Theorem After an introduction into elementary algebraic geometry, we study various operation and structures that can be used to understand and modify algebraic curves. The course culminates in the resolution of singularities for algebraic curves and the Riemann-Roch theorem. Prerequisites, quote from the preface: The course will "introduce students with a little algebra background to a few of the ideas of algebraic geometry and to help them gain some appreciation both for algebraic geometry and for origins and applications of many of the notions of commutative algebra."
