CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Algebraic Curves MAT532 FALL-SPRING 3+0 E 6
    Learning Outcomes
    1-Defines the notions of affine and projective spaces, and algebraic curve.
    2-Outlines the basics of algebra-geometry relationship.
    3-Classifies algebraic curves.
    4-Applies Riemann-Roch theorem.
    Prerequisites -
    Language of Instruction Turkish
    Responsible Asst. Prof. Dr. Celalettin KAYA
    Instructors

    1-)Doktor Öğretim Üyesi Celalettin Kaya

    Assistants -
    Resources R1- Fulton, William. (2008). Algebraic Curves, An Introduction to Algebraic Geometry. [http://www.math.lsa.umich.edu/~wfulton/CurveBook.pdf]
    Supplementary Book SR1- Kunz, E. (2005). Introduction to Plane Algebraic Curves. Birkhauser, Bostan.
    Goals The aim of the course is to make an introduction to algebraic geometry, to study local and global properties of algebraic curves in affine and projective spaces, and to classify algebraic curves.
    Content Affine algebraic sets, affine varieties, local rings, projective spaces, curves in projective plane, Bezout`s theorem, Zariski topology, Riemann-Roch theorem and its applications.
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