Algebraic Geometry 1 (Fall 2013)

AGclass2013

Below is the content of the course’s webpage specific for 2013  

Place and time 
Tuesdays and Fridays 13:30-15:05 in Teaching Building 6, Sector A, Room  6A309, starting Sept. 17. However the holiday arrangement entails that  the class on Sept. 20 (Fri) is moved to Sept. 22 (with the same time slot and place) and that classes on  Oct. 1 (Tue) and Oct. 4 (Fri) are canceled.

Grading 
Exercises with an asterisk will be graded (with grade ‘sufficient’, ‘in between’ or ‘insufficient’) and must for that purpose be handed in within a week after the mentioned date (by mail or hard copy) to my teaching assistant Zheng Zhiwei. These grades can contribute towards your final grade as follows: the grade (named H) for your homework is determined by taking the average of all the weekly grades except for the two worst ones, using the rule: sufficient=10, in between=7, insufficient=5 and with failure to hand in a starred (*) homework exercise resulting in a zero grade. If you get grade W for the written exam, then your final grade is computed according to the rule 0.6H+0.4W or W (rounded off appropriately), whichever is highest, provided W is at least 6.

Material covered and exercises 
To be updated weekly, the starred exercises will be graded and count towards your final  grade. 

Sept 17:  Finished the proof of  Lemma 2.2; Exerc. 4*, 8*, (9* has been scrapped).
Sept 22:  Finished with 2.13; Exerc. 10*, 11, 12, 13*, 14.
Sept 26: Finished Example 4.4; Exerc. 17*, 18.
Oct 8: Finished Example 4.12; Exerc. 19, 20*, 21, 22*.
Oct 11: Until Definition 6.2; Exerc. 23*, 27.
Oct 15: Until 6.8; Exerc. 28, 29*, 30*.
Oct 18: Until Proposition 7.3; Exerc. 31*, 32*, 33.
Oct 22: Finished Lemma 7.9; Exerc. 35*, 36*.
Oct 25: Until Corollary 8.6; Exerc. 38, 42*, 43*.
Oct 29: Until Lemma 9.6; Exerc. 44, 45*.
Nov 1: Until Theorem 9.12; Exerc. 46*.
Nov 5: Finished the universal derivation; Exerc. 47*, 48*.
Nov 8: Until Definition 10.4; Exerc. 49*, 50*.
Nov 12: Ch. 2 until 1.3; Exerc. 53*, 55*.
Nov 15: Completed section 2 of Ch. 2; Exerc. 57*, 58* (58a has been scrapped), 60.
Nov 19: Completed section 4 of Ch. 2; Exerc. 61, 62*, 63*.
Nov 22: Completed section 5 of Ch. 2;  Exerc. 64*, 65.
Nov 26: Finished proof of  7.1; Exerc. 66*.
Nov 29: Finished Corollary 8.5; Exerc. 67*, 68.
Dec 3: Until Proposition 8.11; Exerc. 69*, 70*, 71.
Dec 6: Until Lemma 9.5; Exerc. 72*.
Dec 10: Completed section 9; no exercises this time.
Dec 13: Until Bézout's theorem; Exerc. 73*.
Dec 17: Until Definition of a sheaf; Exerc. 75*, 76*.
Dec 20: Finished section 2 of Ch. 3; Exerc. 78*.
Dec 24: Finished section 3 of Ch. 3.


Exam
This is the take home exam and here is a set of worked solutions. You might take note of a comment by 姜清元 on Problem 2c.