A prime ideal in a polynomial ring whose symbolic blow-up is not Noetherian
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- by Paul C. Roberts PDF
- Proc. Amer. Math. Soc. 94 (1985), 589-592 Request permission
Abstract:
Let $R$ be the polynomial ring $k[X,Y,Z]$ localized at the maximal ideal $M = (X,Y,Z)$. We construct a prime ideal $P$ in $R$ which is equal to the ideal of $m$ generic lines through the origin modulo ${M^m}$, and we show that, for suitable choice of $m$, the symbolic blow-up of such an ideal $P$ is not Noetherian.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 589-592
- MSC: Primary 13E15; Secondary 13A17, 13B30
- DOI: https://doi.org/10.1090/S0002-9939-1985-0792266-5
- MathSciNet review: 792266