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Some surfaces with maximal Picard number

Abstract : For a smooth complex projective variety, the rank of the Néron-Severi group is bounded by the Hodge number h^{1,1}. Varieties with rk NS = h^{1,1} have interesting properties, but are rather sparse, particularly in dimension 2. We discuss in this note a number of examples, in particular those constructed from curves with special Jacobians.
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Contributor : Arnaud Beauville <>
Submitted on : Monday, April 13, 2015 - 11:46:36 AM
Last modification on : Monday, October 12, 2020 - 10:27:33 AM

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  • HAL Id : hal-01141555, version 1
  • ARXIV : 1310.3402



Arnaud Beauville. Some surfaces with maximal Picard number. Journal de l'Ecole Polytechnique, Ecole Polytechnique, 2014, 1, pp.101-116. ⟨hal-01141555⟩



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