my starting page
Bogomolov's Lab. starting page



  Alexey Gorodentsev's
Spring 2018

Preliminary program
Recomended Textbooks
Home Tasks
Marking Rules and Exam

Recomended Textbooks

  • V.I.Danilov. Cohomology of Algebraic Manifolds. In: Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces. Encyclopaedia of Mathematical Sciences. Book 35. Springer (1995).
  • P.Griffiths, J.Harris. Principles of Algebraic Geometry.
  • S.I.Gelfand, Yu.I.Manin. Methods of Homological Algebra. Part I.
  • B.Iversen. Cohomology of Sheaves.
  • C.A.Weibel. An Introduction to Homological Algebra.

    Here are some lecture notes:
    Introdution to categories and fuctors.

    Home Tasks

    The problems are either obligatory or honorary (optional). The obligatory problems are those not marked with stars from the tasks numbered by integers. The problems marked with stars and all problems from the tasks numbered by non-integers (e.g., 2½) are honorary. The maximal final mark «10» can be achieved without solving the honorary problems.

    Marking rules and Exam

    Let H and E be the total amounts of problems you have solved among the Home Tasks and during the Written Exam, both computed as percentage [total number of solved problems]:[total number of obligatory problems], which may be >100 if you solved honorary problems. Your final mark is computed as min(140,H+E)/14 by means of the standard rounding-off rule.