Assignment 2 due September 7 (Wednesday):
Exercises 1.12, 1.13 from chapter one
Exercises 2.2, 2.3, 2.4, 2.5, 2.7 from chapter two
Assignment 3 due September 12:
Assignment 4 due September 19:
Class will not meet September 23 or 26--no assignment is due
Assignment 5 due October 12 (Wednesday):
Exercises 5.1, 5.2, 5.3, 5.4, 5.5, 5.6
Assignment 6 due October 17:
Exercises 6.1, 6.2, 6.3, 6.4
Assignment 7 due October 31:
Assignment 8 due November 7:
Exercises 8.2, 8.3, 8.4, 8.5, 8.10
Assignment 9 due November 14:
Assignment 10 due November 21:
Exercises 9.1 and 9.2
Let X be an abstract pre-variety. Consider the diagonal DX in
X x X, consisting of pairs (x,y) in X x X with x=y. Is the diagonal always
closed? Show that DX is closed when
X is affine or projective.
Write down homogeneous equations for the diagonal in Pn x
Pn.
Assignment 11 due November 28:
Exercises 10.1, 10.2, 10.5
Research experience for undergraduates information
National Science Foundation,
American Mathematical
Society, and
Rice VIGRE program