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arxiv: 1412.1795 · v1 · pith:ZKPFUVGJnew · submitted 2014-12-04 · 🧮 math.AG · math.AT· math.KT

Exponentiation of motivic measures

classification 🧮 math.AG math.ATmath.KT
keywords applicationmeasuresmotivicelementaryestablishexponentiatedexponentiationfirst
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In this short note we establish some properties of all those motivic measures which can be exponentiated. As a first application, we show that the rationality of Kapranov's zeta function is stable under products. As a second application, we give an elementary proof of a result of Totaro.

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