Algebraic Geometry Seminar
Yi Zhu
University of Utah
Iitaka's philosophy and rational curves
Abstract: Iitaka's philosphy claims that whenever we have a theorem for proper varieties, we should have a counter-theorem for open varieties. In this talk, I will introduce this philosophy with several examples. Then I will report the recent progress on the theory of "log rational curves" on log pairs. As another piece of evidence of Iitaka's philosophy, this theory generalizes the classical theory of rational curves on proper varieties. This is a joint work with Qile Chen.
Wednesday April 2, 2014 at 4:00 PM in SEO 427