On a conjecture of Kato and Kuzumaki concerning Fano hypersurfaces

DOI10.1215/00127094-3129488zbMath1348.11037arXiv1308.3024OpenAlexW3100553236WikidataQ122998595 ScholiaQ122998595MaRDI QIDQ498673

Olivier Wittenberg

Publication date: 29 September 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3024

zbMATH Keywords

number fields\(C_1\) property\(p\)-adic fields, Milnor \(K\)-groupsAx conjecturedimension of fields

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other nonalgebraically closed ground fields in algebraic geometry (14G27) (K)-theory of local fields (11S70) (p)-adic and power series fields (11D88) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (6)

Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields ⋮ The specialization index of a variety over a discretely valued field ⋮ On a conjecture of Kato and Kuzumaki ⋮ Fields of dimension one algebraic over a global or local field need not be of type \(C_1\) ⋮ On Kato and Kuzumaki's properties for the Milnor \(K_2\) of function fields of \(p\)-adic curves ⋮ Unnamed Item

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