Motivic Serre invariants and Weil restriction

DOI10.1016/j.jalgebra.2007.11.006zbMath1211.14015OpenAlexW2045503143MaRDI QIDQ2482071

Julien Sebag, Johannes Nicaise

Publication date: 16 April 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.11.006

zbMATH Keywords

Serre invariantWeil restrictionmotiveformal schemerigid varietyGreenberg scheme

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Rigid analytic geometry (14G22)

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The Greenberg functor revisited ⋮ A short survey on the integral identity conjecture and theories of motivic integration ⋮ FROM THE FUNCTION-SHEAF DICTIONARY TO QUASICHARACTERS OF -ADIC TORI ⋮ The Greenberg Functor is Site Cocontinuous ⋮ Greenberg Approximation and the Geometry of Arc Spaces ⋮ Motivic invariants of algebraic tori ⋮ Motivic Serre invariants, ramification, and the analytic Milnor fiber ⋮ Motivic zeta functions of Abelian varieties, and the monodromy conjecture ⋮ Proofs of the integral identity conjecture over algebraically closed fields ⋮ Galois descent of semi-affinoid spaces ⋮ A trace formula for rigid varieties, and motivic Weil generating series for formal schemes ⋮ A trace formula for varieties over a discretely valued field ⋮ Equivariant motivic integration on formal schemes and the motivic zeta function

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