Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function

DOI10.1134/S0081543806010081zbMath1350.14023arXivmath/0407201MaRDI QIDQ2342198

Sabir M. Gusein-Zade, I. Luengo Velasco, Alejandro Melle-Hernández

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407201

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (Co)homology theory in algebraic geometry (14F99) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (2)

On the power structure over the Grothendieck ring of varieties and its applications ⋮ Higher-Order Spectra, Equivariant Hodge–Deligne Polynomials, and Macdonald-Type Equations

Cites Work

• Lefschetz numbers of iterates of the monodromy and truncated arcs
• La fonction zeta d'une monodromie
• Germs of arcs on singular algebraic varieties and motivic integration
• Poincaré series of a rational surface singularity
• On motivic zeta functions and the motivic nearby fiber
• A power structure over the Grothendieck ring of varieties
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
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