Academic Catalog

MATH552 ALGEBRAIC GEOMETRY II

Course Code: 2360552
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall and Spring Semesters.

Course Content

Review of sheaves; quasi-coherent and coherent sheaves, direct and inverse images. Proper morphisms, quasi-coherent sheaves on projective schemes, projective morphisms. Cohomology of sheaves, cohomology of a projective scheme, higher direct images. Geometric applications.