A generalization of the Subspace Theorem with polynomials of higher degree

Details A generalization of the Subspace Theorem with polynomials of higher degree A generalization of the Subspace Theorem with polynomials of higher degree

2004-08-27

arxiv.org/abs/math/0408381v1

Mathematics

Number Theory

31 pages

Scientific paper

Recently, Corvaja and Zannier obtained an extension of the Subspace Theorem with arbitrary homogeneous polynomials of arbitrary degreee instead of linear forms. Their result states that the set of solutions in P^n(K) (K number field) of the inequality being considered is not Zariski dense. In our paper we prove by a different method a generalization of their result, in which the solutions are taken from an arbitrary projective variety X instead of P^n. Further, we give a quantitative version which states in a precise form that the solutions with large height lie ina finite number of proper subvarieties of X, with explicit upper bounds for the number and for the degrees of these subvarieties.

Affiliated with

Also associated with

No associations

Rating

A generalization of the Subspace Theorem with polynomials of higher degree 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 A generalization of the Subspace Theorem with polynomials of higher degree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A generalization of the Subspace Theorem with polynomials of higher degree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211171