Infinitely generated symbolic Rees algebras over finite fields

Sannai, Akiyoshi; Tanaka, Hiromu

doi:10.2140/ant.2019.13.1879

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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.

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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

Vol. 13, No. 8, 2019