Course Description:
Studies some of the main tools and key objects of algebraic geometry; in particular, the Hilbert scheme that parametrizes subschemes of a projective variety. Topics include coherence of the higher direct images of coherent sheaves under a projective map, theorem on formal functions, Zariski’s main theorem and Zariski’s connectedness theorem, and the construction of the Hilbert and Picard schemes.
Fall Offering:
None
Lab/Coreq 1:
Spring Offering:
None
Lab/Coreq 2:
Summer Offering:
None
Lab/Coreq Remarks:
Summer 1 Offering:
None
Prerequisite 1:
MTH G314
Summer 2 Offering:
None
Prerequisite 2:
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Or permission of instructor.
Cross-Listed Course 5:
Repeatable:
N
