The Denef-Loeser series for toric surface singularities

DOI10.4171/RMI/361zbMath1058.14006OpenAlexW2001261050MaRDI QIDQ1884051

Monique Lejeune-Jalabert, Ana J. Reguera-López

Publication date: 25 October 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39676

zbMATH Keywords

continued fractionarc spacesNash blowing-up

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17)

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Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ Nash Modification on Toric Curves ⋮ Jet schemes of normal toric surfaces ⋮ Geometric motivic Poincaré series of quasi-ordinary singularities ⋮ On the zero locus of ideals defining the Nash blowup of toric surfaces ⋮ Arcs and resolution of singularities ⋮ Toric geometry and the Semple-Nash modification ⋮ Nash modification on toric surfaces

Cites Work

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• Germs of arcs on singular algebraic varieties and motivic integration
• Definable sets, motives and 𝑝-adic integrals
• Quasirational Singularities