Vol. 13, No. 8, 2019

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Infinitely generated symbolic Rees algebras over finite fields

Akiyoshi Sannai and Hiromu Tanaka

Vol. 13 (2019), No. 8, 1879–1891
DOI: 10.2140/ant.2019.13.1879
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
symbolic Rees algebras, Mori dream spaces, Cowsik's question
Mathematical Subject Classification 2010
Primary: 13H10
Milestones
Received: 15 February 2018
Revised: 19 June 2018
Accepted: 20 July 2018
Published: 9 October 2019
Authors
Akiyoshi Sannai
Center for Advanced Intelligence Project
RIKEN
Tokyo
Japan
Hiromu Tanaka
Graduate School of Mathematical Sciences
The University of Tokyo
Japan