Numerical characterization of nef arithmetic divisors on arithmetic surfaces

Abstract

In this paper, we give a numerical characterization of nef arithmetic R-Cartier divisors of C^0-type on an arithmetic surface. Namely an arithmetic R-Cartier divisor D of C^0-type is nef if and only if D is pseudo-effective and deg(D^2) = vol(D).

26 pages, Rewrite Section 3

References in corpus (1)

• Toward Dirichlet's unit theorem on arithmetic varieties

Cited by in corpus (1)

• A numerical characterization of nef adelic divisors