Torsion in kernels of induced maps on divisor class groups

DOI10.1142/S0219498815501236zbMath1370.13013arXiv1302.6552OpenAlexW2963835895MaRDI QIDQ5255745

Sandra Spiroff, Sean K. Sather-Wagstaff

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6552

zbMATH Keywords

divisor class groupintegral closure\(S_2\)-ificationsétale extensions

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Étale and flat extensions; Henselization; Artin approximation (13B40) Class groups (13C20) Excellent rings (13F40)

Related Items (2)

On the structure of \(S_2\)-ifications of complete local rings ⋮ Regulating Hartshorne's connectedness theorem

Cites Work

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• Some results in local rings on ramification in low codimension
• Maps on divisor class groups induced by ring homomorphisms of finite flat dimension
• Descent and ascent of local properties along homomorphisms of finite flat dimension
• Recovering divisor classes via their \((T)\)-adic filtrations
• Restrictions of torsion divisor classes to hypersurfaces
• The limiting behavior on the restriction of divisor classes to hypersurfaces.
• Localisation de la lissite formelle
• Faisceaux amples sur les schémas en groupes et les espaces homogènes
• Rings with Discrete Divisor Class Group: Theorem of Danilov-Samuel
• On Ramification Theory in Noetherian Rings
• A generalization of the Auslander-Nagata purity theorem

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