The divisor class group of the surface \(\exp(p^ n\cdot \log Z)=G(X,Y)\) over fields of characteristic \(p>0\)

DOI10.1016/0021-8693(83)90084-4zbMath0528.14017OpenAlexW2054905150MaRDI QIDQ786877

Jeffrey Lang

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90084-4

zbMATH Keywords

descentcharacteristic pKrull ringdivisor class group of normal surfaceorder of divisor class group

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Morphisms of commutative rings (13B10) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Special surfaces (14J25) Homological methods in commutative ring theory (13D99) Arithmetic rings and other special commutative rings (13F99)

Related Items (14)

The divisor class group of splittable Zariski surfaces ⋮ Locally factorial generic Zariski surfaces are factorial ⋮ A new algorithm for computing class groups of Zariski surfaces ⋮ Unnamed Item ⋮ Zariski surfaces, class groups and linearized systems ⋮ Newton polygons of jacobian pairs ⋮ On Bertini's theorem for fibrations by plane projective quartic curves in characteristic five ⋮ Linearized systems and a generalized Cayley–Hamilton theorem ⋮ The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem ⋮ Unnamed Item ⋮ Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces ⋮ Three-dimensional Jacobian derivations and divisor class groups ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• On plane curves with one place at infinity.
• Plane Frobenius Sandwiches
• Some geometric applications of a differential equation in characteristic 𝑝>0 to the theory of algebraic surfaces
• On logarithmic derivatives

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