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.

Some comments and references added

References in corpus (1)

• Curves on the surface of cuboids

Cited by in corpus (2)

• A new class of surfaces with maximal Picard number
• Hodge structures of type (n,0,...,0,n)