Resum
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.
Idioma original | Anglès |
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Pàgines (de-a) | 1-9 |
Nombre de pàgines | 9 |
Revista | Nagoya Mathematical Journal |
Volum | 224 |
DOIs | |
Estat de la publicació | Publicada - 1 de des. 2016 |
Publicat externament | Sí |