Journal of the Ramanujan Mathematical Society

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Exponentiable Motivic Measures


Affiliations
1 Department of Mathematics, University of Maryland, College Park, MD-20742, United States
2 Department of Mathematics, MIT, Cambridge, MA-02139, United States
     

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In this note we establish some properties of exponentiable motivic measures. 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 special case of a result of Totaro.
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  • Exponentiable Motivic Measures

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Authors

Niranjan Ramachandran
Department of Mathematics, University of Maryland, College Park, MD-20742, United States
Goncalo Tabuada
Department of Mathematics, MIT, Cambridge, MA-02139, United States

Abstract


In this note we establish some properties of exponentiable motivic measures. 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 special case of a result of Totaro.