Restrictions of torsion divisor classes to hypersurfaces

DOI10.1006/jabr.1994.1196zbMath0842.13005OpenAlexW2078447478MaRDI QIDQ1330043

Dana Weston, Phillip Griffith

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1196

zbMATH Keywords

DCGGalois extensionsdescentascentintegral closurenormal domain\(R_ 1\)discrete divisor class group

Mathematics Subject Classification ID

Picard groups (14C22) Hypersurfaces and algebraic geometry (14J70) Class groups (13C20) Galois theory and commutative ring extensions (13B05)

Related Items

Cyclic covers of rings with rational singularities ⋮ Restriction of divisor classes to hypersurfaces in characteristic \(p\) ⋮ Maps on divisor class groups induced by ring homomorphisms of finite flat dimension ⋮ The limiting behavior on the restriction of divisor classes to hypersurfaces. ⋮ FREENESS OF THE SYMBOLIC CONORMAL MODULE AND MAPS OF DIVISOR CLASSES ⋮ Approximate liftings in local algebra and a theorem of Grothendieck ⋮ Smooth polynomial identity algebras with almost factorial centers. ⋮ Recovering divisor classes via their \((T)\)-adic filtrations ⋮ Torsion in kernels of induced maps on divisor class groups ⋮ Induced formal deformations and the Cohen-Macaulay property

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