Infinitely generated symbolic Rees algebras over finite fields

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.

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

References in corpus (2)

• Some non-finitely generated Cox rings
• Hilbert's fourteenth problem over finite fields, and a conjecture on the cone of curves