# Undervisningsplan

 Dato Undervises av Sted Tema Kommentarer / ressurser 19.01.2010 Kristian Ranestad (KR) B71 Affine varieties (Hartshorne kap I.1) 21.01.2010 KR B71 Affine varieties (I.1) This lecture is cancelled 26.01.2010 KR B71 Affine and projective varieties (I.1-I.2) Exercises: 1.1, 1.2, 1.6, and: -Find the ideal of the algebraic set {(0,0),(1,0),(0,1)} in the affine plane. Can you find generators as maximal minors of some matrix with polynomial entries? 28.01.2010 KR B71 Affine and projective varieties (I.1-I.2) Exercises: 2.9, 2.11,2.12,2.13,2.14We discussed 2.9, the other ones will be discussed in subsequent lectures. 02.02.2010 Ragni Piene (RP) B71 Projective varieties (I.2) Examples of projective varieties. Exercises 2.11, 2.12, 2.13, 2.14, 2.15. 04.02.2010 RP B71 Projective varieties (I.2) More examples! 09.02.2010 KR B71 Morphisms (I.3) 11.02.2010 KR B71 Morphisms (I.3) Exercises 3.1, 3.2, 3.6, 3.7 16.02.2010 RP B71 Rational maps (I.4) Exercises: 4.1, 4.2, 4.3, 4.4, 4.5 18.02.2010 Karoline Moe B71 Rational maps: Blow-ups (I.4) Exercises: 4.6, 4.7, 4.9 23.02.2010 KR B71 Nonsingular varieties (I.5) Exercises 5.1, 5.2, 5.3, 5.4, 5.6 for 25th of February 25.02.2010 KR B71 Nonsingular varieties (I.5) Compulsory hand-in: 3.14, 4.10 by Feb 26. at 14.00 in my mailbox (KR) 02.03.2010 RP B71 Intersection in projective space (I.7) Exercises: 7.1, 7.2, 7.3, 7.4 04.03.2010 RP B71 Intersection in projective space (I.7) Exercises: 7.5, 7.6, 7.7, 7.8 09.03.2010 KR B71 Nonsingular curves (I.6) 11.03.2010 KR B71 Nonsingular curves (I.6) Exercises 6.1, 6.2 16.03.2010 KR B71 Repetition and exercises 7.4, 7.5, 7.6, 7.7, 7.82.13, 2.15, 3.15, 5.12 revisited 18.03.2010 KR B71 Repetition and exercises 23.03.2010 KR Oral exam in MAT 4210/MAT9210 this week, exact schedule to be determined. 06.04.2010 RP B71 Sheaves (II.1) See Mat 4215 for exercises and comments 08.04.2010 RP B71 Sheaves (II.1) 13.04.2010 KR B71 Schemes (II.2) 15.04.2010 KR B71 Schemes (II.2) 20.04.2010 KR B71 Schemes (II.3) 22.04.2010 KR B71 Schemes (II.3) 27.04.2010 KR B71 Sheaves of modules (II.5) 29.04.2010 KR B71 Sheaves of modules (II.5) 04.05.2010 KR B71 Divisors (II.6) 06.05.2010 KR B71 Divisors (II.6) 11.05.2010 KR B71 Cohomology of sheaves (III.2-III.3) "Derived functors" (III.1) is left for the students to read, it will not be lectured on. 18.05.2010 RP B71 Cohomology of sheaves (III.3-III.4) 20.05.2010 RP B71 Cech cohomology (III.4) Exercises 4.1, 4.3, 4.7. 25.05.2010 KR B71 The cohomology of projective space (III.5) 27.05.2010 KR RP The cohomology of projective space (III.5) 01.06.2010 KR B71 Repetition and exercises 03.06.2010 KR B71 Repetition and exercises Oral exam for MAT4215/MAT9215 in mid june. Schedule to be determined.
Publisert 5. jan. 2010 12:45 - Sist endret 20. mai 2010 19:28