Grothendieck Rings of ℤ-Valued Fields

DOI10.1017/S1079898600005849zbMath0988.03058arXivmath/0311435OpenAlexW1514429014MaRDI QIDQ2736587

Deirdre Haskell, Raf Cluckers

Publication date: 10 September 2001

Published in: Bulletin of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311435

zbMATH Keywords

Grothendieck ringsvalued fieldsdefinable sets

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12)

Related Items (8)

Grothendieck ring of the pairing function without cycles ⋮ The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal structures ⋮ Definable sets, motives and 𝑝-adic integrals ⋮ Grothendieck rings of Laurent series fields. ⋮ Grothendieck rings of theories of modules ⋮ Grothendieck rings of o-minimal expansions of ordered Abelian groups ⋮ Analytic $p$-adic cell decomposition and integrals ⋮ Definable combinatorics with dense linear orders

Cites Work

• Germs of arcs on singular algebraic varieties and motivic integration
• Diophantine unsolvability over \(p\)-adic function fields
• Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings
• On the angular component map modulo P

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