Characterization of C(n)

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In this paper a new geometric characterization of the th symmetric product of a curve is given. Specifically, we assume that there exists a chain of smooth subvarieties Vi of dimension i, such that Vi is an ample divisor in Vi+1 and its intersection product with V1 is one; that the Albanese dimension of V2 is 2 and the genus of is equal to the irregularity of the variety. We prove that in this case the variety is isomorphic to the symmetric product of a curve.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalNagoya Mathematical Journal
Publication statusPublished - 1 Dec 2016
Externally publishedYes


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