Back to Algebraic Geometry Seminar: Fall 2011
Algebraic Geometry Seminar
Date: Tuesday, Nov 22, 2011
Time: 3:30PM - 4:30PM
Location: LCB 222
Nathan Ilten
University of California, Berkeley
Title |
On the Hilbert Scheme of Degree Twelve Fano Threefolds |
Abstract |
Hilbert schemes provide a useful tool for moduli problems, but are difficult to explicitly describe in most situations. In my talk, I will discuss a specific example, namely the Hilbert scheme of degree 12 Fano threefolds. Among its many irreducible components, there are four special components which correspond to different families of smooth Fano threefolds. I will describe the geometry of these special components and their intersection behavior. Motivation coming from mirror symmetry for studying this particular Hilbert scheme will also be discussed. This project is joint work with J. Christophersen. |
Algebraic Geometry