Characterization of C(n)

Meritxell Saéz

doi:10.1017/nmj.2016.13

Characterization of C⁽ⁿ⁾

Meritxell Saéz^*

^*Autor corresponent d’aquest treball

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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 V_i of dimension i, such that V_i is an ample divisor in V_i+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
Pàgines (de-a)	1-9
Nombre de pàgines	9
Revista	Nagoya Mathematical Journal
Volum	224
DOIs	https://doi.org/10.1017/nmj.2016.13
Estat de la publicació	Publicada - 1 de des. 2016
Publicat externament	Sí

Accés al document

10.1017/nmj.2016.13

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Link to publication in Scopus

Com citar-ho

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AB - 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.

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