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Introductory seminar by Michael McBreen (Aarhus University)

Title: Introduction to Compactified Jacobians

2019.10.21 | Jane Jamshidi

Date Tue 22 Oct
Time 16:15 17:00
Location 1531-215 (Aud-D3)


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.

Introductory seminars