Unirational algebraic groups over local fields have rational jumps in Néron model filtrations and rational motivic zeta functions.
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Proves additivity of base change conductor in short exact sequences, duality invariance in positive characteristic, disproves a generalization, and gives new proof for tori.
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Unirational algebraic groups and tame ramification
Unirational algebraic groups over local fields have rational jumps in Néron model filtrations and rational motivic zeta functions.
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Chai's conjectures on base change conductors
Proves additivity of base change conductor in short exact sequences, duality invariance in positive characteristic, disproves a generalization, and gives new proof for tori.