46 citations · 65 across the 6 of their papers we have counts for
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math.AG2009★ 7 cited
A note on motivic integration in mixed characteristic
Johannes Nicaise, Julien Sebag
We introduce a quotient of the Grothendieck ring of varieties by identifying classes of universally homeomorphic varieties. We show that the standard realization morphisms factor t…
math.AG2009
Greenberg approximation and the geometry of arc spaces
Johannes Nicaise, Julien Sebag
We study the differential properties of generalized arc schemes, and geometric versions of Kolchin's Irreducibility Theorem over arbitrary base fields. As an intermediate step, we…