A Zariski-Nagata theorem for smooth \(\mathbb{Z} \)-algebras

DOI10.1515/crelle-2018-0012zbMath1446.14012arXiv1709.01049OpenAlexW2804313492WikidataQ57456888 ScholiaQ57456888MaRDI QIDQ1985539

Eloísa Grifo, Alessandro De Stefani, Jack Jeffries

Publication date: 7 April 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01049

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Perfectoid spaces and mixed characteristic (14G45)

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• A fundamental lemma from the theory of holomorphic functions on an algebraic variety
• Differential calculus with integers
• Uniform bounds and symbolic powers on smooth varieties

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