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arXiv · 2601.15692

Symbolic Rees algebras of space monomial primes of degree 5

Kazuhiko Kurano
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Abstract

Let K be a field of characteristic 0. Let P_K(5,103,169) be the defining ideal of the space monomial curve {(t^5,t^{103},t^{169})}. In this paper we shall prove that the symbolic Rees algebra R_s(P_K(5,103,169)) is not Noetherian, that is, is not finitely generated over K.

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Kazuhiko Kurano. 2026-01-22. Symbolic Rees algebras of space monomial primes of degree 5. https://arxiv.org/abs/2601.15692

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