Finite Morphisms to Projective Space and Capacity Theory

Details Finite Morphisms to Projective Space and Capacity Theory Finite Morphisms to Projective Space and Capacity Theory

2012-01-03

arxiv.org/abs/1201.0678v1

Mathematics

Algebraic Geometry

29 pages

Scientific paper

We study conditions on a commutative ring R which are equivalent to the following requirement; whenever X is a projective scheme over S = Spec(R) of fiber dimension \leq d for some integer d \geq 0, there is a finite morphism from X to P^d_S over S such that the pullbacks of coordinate hyperplanes give prescribed subschemes of X provided these subschemes satisfy certain natural conditions. We use our results to define a new kind of capacity for subsets of the archimedean points of projective flat schemes X over the ring of integers of a number field. This capacity can be used to generalize the converse part of the Fekete-Szeg\H{o} Theorem.

Affiliated with

Also associated with

No associations

Rating

Finite Morphisms to Projective Space and Capacity Theory 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 Finite Morphisms to Projective Space and Capacity Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Morphisms to Projective Space and Capacity Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184153