Algebraic Geometry Seminar
Scott Nollet
Texas Christian University
The Noether-Lefschetz Theorem
Abstract: The Noether-Lefschetz theorem says that the general surface in
complex projective three space of degree d > 3 has Picard group generated by the restriction of the hyperplane class. This result was suggested by Noether in the 1800s and proved by Lefschetz in the 1920s. In the mid 1980s and 1990s there was a sudden revival of interest in this topic, including a better understanding of the Noether-Lefschetz locus and various extensions of the theorem itself. I will report on these results, along with some developments from the last few years.
Monday October 12, 2009 at 5:00 PM in SEO 636