The Divisor Classes of the Hypersurface z p m = G(x 1 , � ,x n ) in Characteristic p > 0

DOI10.2307/1999174zbMath0528.14018OpenAlexW4249073420MaRDI QIDQ3309993

Jeffrey Lang

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/1999174

zbMATH Keywords

Krull ringsdescentdivisor class groups of normal affine hypersurface

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Special surfaces (14J25) Arithmetic rings and other special commutative rings (13F99)

Related Items (7)

The divisor class group of splittable Zariski surfaces ⋮ Locally factorial generic Zariski surfaces are factorial ⋮ Splittable Zariski surfaces II ⋮ The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem ⋮ Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces ⋮ Unnamed Item ⋮ Divisor class groups of rational trinomial varieties

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