What is motivic measure?

DOI10.1090/S0273-0979-05-01053-0zbMath1081.14033arXivmath/0312229OpenAlexW2087959827MaRDI QIDQ4663498

Thomas C. Hales

Publication date: 31 March 2005

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312229

zbMATH Keywords

motivic measure

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Algebraic cycles (14C25) Quantifier elimination, model completeness, and related topics (03C10) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Zeta functions of equivalence relations over finite fields ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Special transformations in algebraically closed valued fields ⋮ Fourier transform of the additive group in algebraically closed valued fields ⋮ Topics of motivic characteristic classes ⋮ Zeta functions, Grothendieck groups, and the Witt ring ⋮ Produit eulérien motivique et courbes rationnelles sur les variétés toriques ⋮ Derived \(\ell\)-adic zeta functions

Cites Work

• Germs of arcs on singular algebraic varieties and motivic integration
• Motivic integration on smooth rigid varieties and invariants of degenerations
• Constructible function and motivic integration. I.
• Definable sets, motives and 𝑝-adic integrals
• Uniform p-adic cell decomposition and local zeta functions.
• Intégration motivique sur les schémas formels
• THE GLOBAL MCKAY–RUAN CORRESPONDENCE VIA MOTIVIC INTEGRATION
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