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Introduction to Compactified Jacobians

Michael McBreen (Aarhus University)
Introductory seminar
Tuesday, 22 October, 2019, at 16:15-17:00, in Aud. D3 (1531-215)
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.
Organised by: QGM
Contact person: Cristiano Spotti & Gergely Bérczi