Title: Introduction to Compactified Jacobians
2019.10.21 |
| Date | Tue 22 Oct |
| Time | 16:15 — 17:00 |
| Location | 1531-215 (Aud-D3) |
Abstract:
The space of line bundles of fixed degree on a smooth compact curve is an abelian variety. On a singular curve, however, line bundles can degenerate to sheaves whose rank jumps at the singularities. I will give an introduction to the moduli of such objects, called compactified Jacobians, and explain how to think of them as degenerate abelian varieties. I will show how, in the case of nodal curves, they admit a beautiful description in terms of toric geometry.
