Locally factorial generic Zariski surfaces are factorial

DOI10.1016/0021-8693(87)90221-3zbMath0643.14023OpenAlexW2012958876MaRDI QIDQ1101815

Piotre Blass, Jeffrey Lang

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90221-3

zbMATH Keywords

singularityclass groupfactorialitygeneric Zariski surfaceJacobian derivation

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Singularities of surfaces or higher-dimensional varieties (14J17) Special surfaces (14J25)

Related Items (1)

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Cites Work

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• The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem
• The divisor class group of the surface \(\exp(p^ n\cdot \log Z)=G(X,Y)\) over fields of characteristic \(p>0\)
• An example related to the affine theorem of Castelnuovo
• Classes de diviseurs et dérivées logarithmiques
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• [https://portal.mardi4nfdi.de/wiki/Publication:3309993 The Divisor Classes of the Hypersurface z p m = G(x 1 , � ,x n ) in Characteristic p > 0]

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