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The stability space of Oda-Seshadri universal Jacobians
Nicola Pagani (Liverpool)
Aula Beltrami - Mercoledì 26 Ottobre 2016 h.13:00
Abstract. in 1979 Oda and Seshadri constructed compactifications of the Jacobian variety of a nodal curve that depend on a parameter. In this talk we construct a universal parameter space V that governs Oda-Seshadri compactified Jacobians that fit into families of stable curves. We prove that V is isomorphic to the relative Picard group of the universal curve over Mbar_{g,n}. (We conjecture - work in progress - that V is in fact the parameter space of all universal fine Jacobians). We then give explicit walls in V that correspond to a change in the universal Jacobian, and wall-crossing formulas for (universal) cycles of codimension 1. This is a joint work with Jesse Kass.
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