In this paper we establish that the singularities of the universal compactified Jacobian are canonical if the genus is at least four. As a corollary we determine the Kodaira dimension and the Iitaka fibration of the universal compactified Jacobian for every degree and genus. We also determine the birational automorphism group for every degree if the genus is at least twelve. This extends work of G. Farkas and A. Verra, as well as that of G. Bini, C. Fontanari and the third author.
Casalaina Martin, S.B., Kass, J.L., Viviani, F. (In corso di stampa). The singularities and birational geometry of the universal compactified Jacobian. ALGEBRAIC GEOMETRY.
The singularities and birational geometry of the universal compactified Jacobian
Casalaina Martin, Sebastian Ben;Kass, Jess L;VIVIANI, FILIPPO
In corso di stampa
Abstract
In this paper we establish that the singularities of the universal compactified Jacobian are canonical if the genus is at least four. As a corollary we determine the Kodaira dimension and the Iitaka fibration of the universal compactified Jacobian for every degree and genus. We also determine the birational automorphism group for every degree if the genus is at least twelve. This extends work of G. Farkas and A. Verra, as well as that of G. Bini, C. Fontanari and the third author.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
