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In this paper we establish that the singularities of the universalcompactified Jacobian are canonical if the genus is at least four. As acorollary we determine the Kodaira dimension and the Iitaka fibration of theuniversal compactified Jacobian for every degree and genus. We also determinethe birational automorphism group for every degree if the genus is at leasttwelve. This extends work of G. Farkas and A. Verra, as well as that of G.Bini, C. Fontanari and the third author.

The singularities and birational geometry of the universal compactified Jacobian