Big arithmetic divisors on the projective spaces over Z

Details Big arithmetic divisors on the projective spaces over Z Big arithmetic divisors on the projective spaces over Z

2010-03-09

arxiv.org/abs/1003.1782v3

Mathematics

Algebraic Geometry

23 pages, 1 figures

Scientific paper

This paper is an enhancement of the previous note "Explicit computations of Zariski decompositions on P_Z^1". In this paper, we observe several properties of a certain kind of an arithmetic divisor D on the n-dimensional projective space over Z and give the exact form of the Zariski decomposition of D on the projective line over Z. Further, we show that, if n>=2 and D is big and non-nef, then, for any birational morphism f: X --> P^n_Z of projective, generically smooth and normal arithmetic varieties, we can not expect a suitable Zariski decomposition of f^*(D). We also give a concrete construction of Fujita's approximation of D.

Affiliated with

Also associated with

No associations

Rating

Big arithmetic divisors on the projective spaces over Z does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Big arithmetic divisors on the projective spaces over Z, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Big arithmetic divisors on the projective spaces over Z will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454529