Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals

DOI10.1090/S1056-3911-2011-00567-5zbMath1274.14016arXiv1011.3697OpenAlexW1647647030MaRDI QIDQ2894543

Pedro Daniel González Pérez, Helena Cobo Pablos

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3697

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Rational and birational maps (14E05) Arcs and motivic integration (14E18)

Cites Work

• Germs of arcs on singular algebraic varieties and motivic integration
• Arcs and resolution of singularities
• The arc space of a toric variety
• The Denef-Loeser series for toric surface singularities
• Definable sets, motives and 𝑝-adic integrals
• Motivic generating series for toric surface singularities
• Introduction to Toric Varieties. (AM-131)
• Jet schemes, arc spaces and the Nash problem
• Geometric motivic Poincaré series of quasi-ordinary singularities
• Arcs, valuations and the Nash map
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item