English

Infinitely generated symbolic Rees algebras over finite fields

Commutative Algebra 2019-10-16 v3 Algebraic Geometry

Abstract

For the polynomial ring over an arbitrary field with twelve variables, there exists a prime ideal whose symbolic Rees algebra is not finitely generated.

Keywords

Cite

@article{arxiv.1703.09121,
  title  = {Infinitely generated symbolic Rees algebras over finite fields},
  author = {Akiyoshi Sannai and Hiromu Tanaka},
  journal= {arXiv preprint arXiv:1703.09121},
  year   = {2019}
}

Comments

16 pages, v2: minor revisions, v3: minor revisions

R2 v1 2026-06-22T18:58:04.208Z