Motivic Serre invariants of curves

DOI10.1007/s00229-007-0088-0zbMath1118.14027OpenAlexW1980961612MaRDI QIDQ885872

Julien Sebag, Johannes Nicaise

Publication date: 14 June 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0088-0

zbMATH Keywords

motivic integrationmotivic zeta functionmotivic Serre invariant

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Ramification and extension theory (11S15)

Related Items

A short survey on the integral identity conjecture and theories of motivic integration ⋮ Geometric criteria for tame ramification ⋮ Motivic Serre invariants, ramification, and the analytic Milnor fiber ⋮ Motivic Serre invariants and Weil restriction ⋮ Proofs of the integral identity conjecture over algebraically closed fields ⋮ A trace formula for rigid varieties, and motivic Weil generating series for formal schemes ⋮ Equivariant motivic integration on formal schemes and the motivic zeta function ⋮ The moduli space of stable coherent sheaves via non-Archimedean geometry

Cites Work

• Lefschetz numbers of iterates of the monodromy and truncated arcs
• Germs of arcs on singular algebraic varieties and motivic integration
• Formal and rigid geometry. I: Rigid spaces
• Formal and rigid geometry. II: Flattening techniques
• Néron models in the setting of formal and rigid geometry
• Motivic integration on smooth rigid varieties and invariants of degenerations
• Formal and rigid geometry. III: The relative maximum principle
• Theory of tubular neighborhood in étale topology
• Motivic Serre invariants, ramification, and the analytic Milnor fiber
• The Serre invariant and the analytic Milnor fiber.
• Classification des variétés analytiques p-adiques compactes
• Schemata over local rings
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Néron Models
• Intégration motivique sur les schémas formels
• Rational points in Henselian discrete valuation rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item