MAT4210 - Vår 2010

Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
19.01.2010Kristian Ranestad (KR)  B71  Affine varieties (Hartshorne kap I.1)   
21.01.2010KR  B71  Affine varieties (I.1)  This lecture is cancelled 
26.01.2010KR  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? 
28.01.2010KR  B71  Affine and projective varieties (I.1-I.2)  Exercises: 2.9, 2.11,2.12,2.13,2.14

We discussed 2.9, the other ones will be discussed in subsequent lectures. 

02.02.2010Ragni Piene (RP)  B71  Projective varieties (I.2)  Examples of projective varieties. Exercises 2.11, 2.12, 2.13, 2.14, 2.15. 
04.02.2010RP  B71  Projective varieties (I.2)  More examples! 
09.02.2010KR  B71  Morphisms (I.3)   
11.02.2010KR  B71  Morphisms (I.3)  Exercises 3.1, 3.2, 3.6, 3.7 
16.02.2010RP  B71  Rational maps (I.4)  Exercises: 4.1, 4.2, 4.3, 4.4, 4.5 
18.02.2010Karoline Moe  B71  Rational maps: Blow-ups (I.4)  Exercises: 4.6, 4.7, 4.9 
23.02.2010KR  B71  Nonsingular varieties (I.5)  Exercises 5.1, 5.2, 5.3, 5.4, 5.6 for 25th of February 
25.02.2010KR  B71  Nonsingular varieties (I.5)  Compulsory hand-in: 3.14, 4.10 by Feb 26. at 14.00 in my mailbox (KR) 
02.03.2010RP  B71  Intersection in projective space (I.7)  Exercises: 7.1, 7.2, 7.3, 7.4 
04.03.2010RP  B71  Intersection in projective space (I.7)  Exercises: 7.5, 7.6, 7.7, 7.8 
09.03.2010KR  B71  Nonsingular curves (I.6)   
11.03.2010KR  B71  Nonsingular curves (I.6)  Exercises 6.1, 6.2 
16.03.2010KR  B71  Repetition and exercises  7.4, 7.5, 7.6, 7.7, 7.8

2.13, 2.15, 3.15, 5.12 revisited 

18.03.2010KR  B71  Repetition and exercises   
23.03.2010KR      Oral exam in MAT 4210/MAT9210 this week, exact schedule to be determined. 
06.04.2010RP  B71  Sheaves (II.1)  See Mat 4215 for exercises and comments 
08.04.2010RP  B71  Sheaves (II.1)   
13.04.2010KR  B71  Schemes (II.2)   
15.04.2010KR  B71  Schemes (II.2)   
20.04.2010KR  B71  Schemes (II.3)   
22.04.2010KR  B71  Schemes (II.3)   
27.04.2010KR  B71  Sheaves of modules (II.5)   
29.04.2010KR  B71  Sheaves of modules (II.5)   
04.05.2010KR  B71  Divisors (II.6)   
06.05.2010KR  B71  Divisors (II.6)   
11.05.2010KR  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. 
18.05.2010RP  B71  Cohomology of sheaves (III.3-III.4)   
20.05.2010RP  B71  Cech cohomology (III.4)  Exercises 4.1, 4.3, 4.7. 
25.05.2010KR  B71  The cohomology of projective space (III.5)   
27.05.2010KR  RP  The cohomology of projective space (III.5)   
01.06.2010KR  B71  Repetition and exercises   
03.06.2010KR  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
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