Some surfaces with maximal Picard number

Arnaud Beauville (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

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.

Domaines: Géométrie algébrique [math.AG]

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