Abstract
This article continues the development, begun in [2], [4], [3], [5] and [14], of a theory of the compactified Jacobian that is modeled and based on Grothendieck’s theory of the Picard scheme. Here we study the presentation functor, whose function is to bridge the gap between the compactified Jacobian J of a (relative) singular curve C and that J’ of one of its partial normalizations C’. We shall place special emphasis on the case in which each geometric fiber of C has just one singularity more than C’ and it is an ordinary node or cusp.
Partially supported by NSF gran 8801743 DMS.
To A. Grothendieck who gave us these means to treat the Picard scheme and its compactification.
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Altman, A.B., Kleiman, S.L. (2007). The presentation functor and the compactified Jacobian. In: Cartier, P., Illusie, L., Katz, N.M., Laumon, G., Manin, Y.I., Ribet, K.A. (eds) The Grothendieck Festschrift. Progress in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4574-8_2
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