English

Descent of varieties using a Groebner basis argument

Algebraic Geometry 2016-12-16 v2

Abstract

We prove a descent result for affine/projective varieties defined over an algebraically closed field. The idea is to work with the reduced Groebner basis of the ideal where the variety vanishes and study it's behaviour under group action coming from subgroups of the automorphism group of the base field.

Keywords

Cite

@article{arxiv.1612.04641,
  title  = {Descent of varieties using a Groebner basis argument},
  author = {Deepak Kamlesh},
  journal= {arXiv preprint arXiv:1612.04641},
  year   = {2016}
}

Comments

Very preliminary version

R2 v1 2026-06-22T17:23:34.773Z