Further Topics in Several Complex Variables

4 credits

Continued development of a topic in several complex variables. Topics include formal and convergent power series, Weierstrass preparation theorem, Cartan-Ruckert theorem, analytic sets, mapping theorems, domains of holomorphy, proper holomorphic mappings, complex manifolds and modifications. May be taken for credit three times with consent of adviser as topics vary. Prerequisites: MATH 221A. Students who have not completed MATH 221A may enroll with consent of instructor.