Proofs of the integral identity conjecture over algebraically closed fields

DOI10.1215/00127094-2869138zbMath1370.14017arXiv1206.5334OpenAlexW2077920475WikidataQ113751730 ScholiaQ113751730MaRDI QIDQ2258550

Le Quy Thuong

Publication date: 26 February 2015

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

Full work available at URL: https://arxiv.org/abs/1206.5334

zbMATH Keywords

resolution of singularitiesmotivic Milnor fiberformal schemesdefinable setsrigid varietiesgeometric motivic integrationmotivic volumeNéron smoothening

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Rigid analytic geometry (14G22) Arcs and motivic integration (14E18) Formal neighborhoods in algebraic geometry (14B20)

Related Items

MOTIVIC DONALDSON–THOMAS THEORY AND THE ROLE OF ORIENTATION DATA ⋮ Deformed dimensional reduction ⋮ A short survey on the integral identity conjecture and theories of motivic integration ⋮ The motivic Donaldson-Thomas invariants of \((-2)\)-curves ⋮ A proof of the integral identity conjecture. II ⋮ Motivic Donaldson-Thomas invariants for the one-loop quiver with potential ⋮ The Thom-Sebastiani theorem for the Euler characteristic of cyclic \(L_\infty\)-algebras ⋮ The motivic Thom-Sebastiani theorem for regular and formal functions ⋮ A tropical motivic Fubini theorem with applications to Donaldson-Thomas Theory ⋮ Equivariant motivic integration and proof of the integral identity conjecture for regular functions ⋮ A proof of the $\ell$-adic version of the integral identity conjecture for polynomials ⋮ The moduli space of stable coherent sheaves via non-Archimedean geometry

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