There will be approximately 7 problem sets of roughly 10 problems each, due at the beginning of class every other Wednesday. Roughly 2 of the exercises on each set will be marked with a "star," indicating that the problem is especially relevant.
I strongly encourage all students to complete the homework, especially if algebraic geometry is likely to be relevant to your eventual research specialty. This material is challenging, and it is not possible to learn the subject "by osmosis." However, I understand that you have many competing demands on your time (especially as you progress in your Ph.D. studies). You are all adults, so you may determine your own goals for the course and complete the homework accordingly.
Late work will be accepted, but will be marked for completion only. Students are encouraged to work on the problems together as desired, but your final writeup must be completed independently.
To achieve working proficiency in algebraic geometry you should complete all the homework on time, in order to keep up with the class.
To become acquainted with some of the basic ideas of algebraic geometry, you should at a minimum complete the starred exercises by the end of the semester. (If you fall into this group it may be particularly helpful to work with others.)
If you already have substantial prior experience with algebraic geometry, it might be most appropriate to look at the exercises and verify for yourself that you know the key insights.