A note on the Nakai conjecture

DOI10.1090/S0002-9939-01-05983-4zbMath1061.13012OpenAlexW1607659591WikidataQ123209414 ScholiaQ123209414MaRDI QIDQ2750880

Yves Lequain, Paulo R. Brumatti, Aaron Simis, Daniel Levcovitz

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05983-4

zbMATH Keywords

Zariski-Lipman conjectureNakai conjectureone-dimensional pseudo-geometric rings

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Derivations and commutative rings (13N15) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Formal power series rings (13F25)

Cites Work

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• Constructing bad Noetherian local domains using derivations
• Differential simplicity and the module of derivations
• Remarks on differential operators on algebraic varieties
• On a conjecture of Y. Nakai
• Derivations and integral closure
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• High order derivations. I
• On Schanuel's conjectures
• Nakai’s conjecture for varieties smoothed by normalization
• Free Derivation Modules on Algebraic Varieties

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