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

DOI10.1016/0021-8693(90)90134-AzbMath0738.14021MaRDI QIDQ1813945

Jeffrey Lang, Angie Grant

Publication date: 25 June 1992

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

zbMATH Keywords

fundamental groupcharacteristic pZariski surfacedivisor class group of the coordinate ringZariski open set purely inseparable descent

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Coverings in algebraic geometry (14E20) Special surfaces (14J25)

Related Items (5)

The divisor class group of splittable Zariski surfaces ⋮ Unnamed Item ⋮ Purely inseparable extensions of unique factorization domains ⋮ Unnamed Item ⋮ Three-dimensional Jacobian derivations and divisor class groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The divisor class group of the surface \(\exp(p^ n\cdot \log Z)=G(X,Y)\) over fields of characteristic \(p>0\)
• A method for computing the kernel of a map of divisor classes of local rings in characteristic p\(\neq 0\)
• On p-radical descent of higher exponent
• 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]
• On plane curves with one place at infinity.

This page was built for publication: Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces