scientific article

zbMath0631.13017MaRDI QIDQ3767431

Jeffrey Lang

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=CM_1987__63_3_273_0

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zbMATH Keywords

factorial ringZariski ring

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (2)

Unnamed Item ⋮ Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces

Cites Work

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• The divisor class group of the surface \(\exp(p^ n\cdot \log Z)=G(X,Y)\) over fields of characteristic \(p>0\)
• Locally factorial generic Zariski surfaces are factorial
• An example related to the affine theorem of Castelnuovo
• 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]
• A formula for the Cartier operator on plane algebraic curves.
• Some geometric applications of a differential equation in characteristic 𝑝>0 to the theory of algebraic surfaces

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