English

Integer points on homogeneous varieties with two or more degrees

Number Theory 2014-07-11 v2

Abstract

We give a revised version of Schmidt's treatment of forms in many variables, which allows us to prove a Hasse principle under more lenient conditions on the number of variables than what had previously been thought possible with these methods. Our results are generally comparable with recent advances in the field and supersede them in a number of cases.

Keywords

Cite

@article{arxiv.1404.0829,
  title  = {Integer points on homogeneous varieties with two or more degrees},
  author = {Julia Brandes},
  journal= {arXiv preprint arXiv:1404.0829},
  year   = {2014}
}

Comments

Withdrawn due to a crucial error on page 8. Thanks to D.R. Heath-Brown for spotting this

R2 v1 2026-06-22T03:41:59.770Z