MAT4210 - V?r 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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