English

An equivariant Hilbert basis theorem

Algebraic Geometry 2020-04-10 v2 Commutative Algebra

Abstract

We prove a version of the Hilbert basis theorem in the setting of equivariant algebraic geometry: given a group G acting on a finite type morphism of schemes X -> S, if S is topologically G-noetherian, then so is X.

Keywords

Cite

@article{arxiv.1712.07532,
  title  = {An equivariant Hilbert basis theorem},
  author = {Daniel Erman and Steven V Sam and Andrew Snowden},
  journal= {arXiv preprint arXiv:1712.07532},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-22T23:24:44.041Z