Code: 2-MPG-104/15

Grading: Homeworks, final exam

You need to work out at least 50% of the homeworks to be admitted to the final (oral) exam.

In case you are at least 90% successful in your homeworks, you don't need to pass the final exam and you get the grade A.

Otherwise the final grade is the average of your success in homeworks and your performance in the oral exam.

Lectures (in slovak only):

  1. Variety a ideály, oprava
  2. Zariskiho topológia
  3. Súradnicový okruh variety, oprava
  4. Gröbnerove bázy
  5. Rezultanty
  6. Reálne korene polynomickej rovnice

Extra meetings:

There will be extra lectures (a compensation for the Wednesdays with no lecture):

  • Tuesday 7.5 at 13:10 in M120
  • Tuesday 14.5 at 13:10 in M120
  • Monday 20.5 at 9:50 in X - zrušená / cancelled!

Homeworks:

  • sk, en - do 27.2 - due to February 27th
  • sk, en - do 6.3 - due to March 6th
  • sk, en - do 13.3 - due to March 13th, solution to 21
  • sk, en - do 20.3 - due to March 20th
  • sk, en - stačí odovzdať až 3.4 - to hand over on April 3rd
  • sk, en - do 10.4 - due to April 10th
    na prednáške sme došli po str. 25, budúci týždeň pokračujeme odsekom 2.3 "Pullback regulárnej funkcie"
  • sk, en - do 17.4 - due to April 17th
  • sk, en - do 24.4 - due to April 24th
  • sk, en - do 15.5 - due to May 15th (covers also the lecture on May 7th)

bodovanie

Oral exam:

Additional exercises (not to hand over, just to help you while studying): sk, en
Topics for the oral exam: sk, en. You will choose (randomy) two of them and obtain also some related exercises.
Exam takes place on Tuesdays in June: 4.6, 11.6, 18.6 at 9:00

Sources:

Brendan Hassett: Algebraic geometry, Cambridge University Press, 2007
David Cox, John Little, Donal O'Shea: Ideals, Varieties and Algorithms, Springer Verlag, 1996
Justin R. Smith: Introduction to Algebraic Geometry, Five Dimensions Press, 2014
Igor R. Shafarevich: Basic Algebraic Geometry 1, Springer Verlag, 2010
A. Gathmann: Class Notes „Algebraic Geometry”, online skriptá, 2014
Basu, R. Pollack, M.-F. Roy: Algorithms in Real Algebraic Geometry, Springer, 2003