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• W1582610010 abstract "To any nodal curve C one associates its degree class group, a combinatorial invariant which plays an important role in the compactification of the generalized Jacobian of C and in the construction of the Neron model of the Picard variety of families of curves having C as special fibre. In this paper we study this invariant. More precisely, we construct a family of graphs having cyclic degree class group and we provide a recursive formula for the cardinality of the degree class group of the members of the family. Moreover, we analyse the behaviour of the degree class group under standard geometrical operations on the curve, such as the blow up and the normalization of a node." @default.
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• W1582610010 date "2006-10-01" @default.
• W1582610010 modified "2023-09-26" @default.
• W1582610010 title "Combinatorial aspects of nodal curves" @default.
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