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math.AG2017
A motivic local Cauchy-Crofton formula
Arthur Forey
In this note, we establish a version of the local Cauchy-Crofton formula for definable sets in Henselian discretely valued fields of characteristic zero. It allows to compute the m…
math.AG2017
Virtual rigid motives of semi-algebraic sets
Arthur Forey
Let be a field of characteristic zero containing all roots of unity and . We build a ring morphism from the Grothendieck group of semi-algebraic sets over to the…