Reconstructing function fields from Milnor \(K\)-theory

DOI10.2140/ant.2021.15.2261zbMath1492.19002arXiv1808.04944OpenAlexW4205229039WikidataQ114045546 ScholiaQ114045546MaRDI QIDQ2070897

Alena Pirutka, Anna Cadoret

Publication date: 25 January 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04944

zbMATH Keywords

function fieldBloch-Kato conjecturealgebraic dependenceMilnor \(K\)-theoryBertini theoremanabelian geometryfundamental theorem of projective geometryBass-Tate conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (K)-theory of global fields (11R70) Higher symbols, Milnor (K)-theory (19D45) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Field extensions (12F99)

Related Items (1)

Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022

Cites Work

• Reconstructing function fields from rational quotients of mod-\(\ell \) Galois groups
• On the birational anabelian program initiated by Bogomolov. I
• Théoremes de Bertini et applications
• Reduced power operations in motivic cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• On quasi algebraic closure
• Bertini irreducibility theorems over finite fields

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