A further improvement of the quantitative Subspace Theorem

Mathematics – Number Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

93 pages

Scientific paper

In 2002, Evertse and Schlickewei obtained a quantitative version of the so-called Absolute Parametric Subspace Theorem. This result deals with a parametrized class of twisted heights. One of the consequences of this result is a quantitative version of the Absolute Subspace Theorem, giving an explicit upper bound for the number of subspaces containing the solutions of the Diophantine inequality under consideration. In the present paper, we further improve Evertse's and Schlickewei's quantitative version of the Absolute Parametric Subspace Theorem, and deduce an improved quantitative version of the Absolute Subspace Theorem. We combine ideas from the proof of Evertse and Schlickewei (which is basically a substantial refinement of Schmidt's proof of his Subspace Theorem from 1972, with ideas from Faltings' and Wuestholz' proof of the Subspace Theorem.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

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

Rate now

     

Profile ID: LFWR-SCP-O-503371

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.