Infinitely generated symbolic Rees algebras over finite fields

Akiyoshi Sannai; Hiromu Tanaka

doi:10.2140/ant.2019.13.1879

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 8 > Article

2019 Infinitely generated symbolic Rees algebras over finite fields

Akiyoshi Sannai, Hiromu Tanaka

Algebra Number Theory 13(8): 1879-1891 (2019). DOI: 10.2140/ant.2019.13.1879

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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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Akiyoshi Sannai. Hiromu Tanaka. "Infinitely generated symbolic Rees algebras over finite fields." Algebra Number Theory 13 (8) 1879 - 1891, 2019. https://doi.org/10.2140/ant.2019.13.1879

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Received: 15 February 2018; Revised: 19 June 2018; Accepted: 20 July 2018; Published: 2019

First available in Project Euclid: 29 October 2019

zbMATH: 07118655

MathSciNet: MR4017537

Digital Object Identifier: 10.2140/ant.2019.13.1879

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Primary: 13H10

Keywords: Cowsik's question , Mori dream spaces , symbolic Rees algebras

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Akiyoshi Sannai, Hiromu Tanaka "Infinitely generated symbolic Rees algebras over finite fields," Algebra & Number Theory, Algebra Number Theory 13(8), 1879-1891, (2019)

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