scientific article; zbMATH DE number 7804946

DOI10.22405/2226-8383-2023-24-2-179-196MaRDI QIDQ6153814

I. B. Zhukov, Unnamed Author

Publication date: 14 February 2024

Full work available at URL: http://mathnet.ru/eng/cheb1313

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Artin-Schreier equationdiscrete valuation fieldramification jump

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70)

Cites Work

• Continuability of cyclic extensions of complete discrete valuation fields
• Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.)
• Construction of a cyclic extension of degree \(p^2\) for a complete field
• Extensions with almost maximal depth of ramification
• Formal complex multiplication in local fields
• Galois scaffolds and Galois module structure for totally ramified \(C_{p^2}\)-extensions in characteristic 0
• Artin-Schreier Equations in Characteristic Zero
• EXPLICIT CONSTRUCTION OF CLASS FIELD THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD
• Local abelian Kato-Parshin reciprocity law: A survey
• Ramification of higher local fields, approaches and questions
• Local class field theory
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