Abstract
In this short note we establish some properties of all those m
otivic
measures which can be exponentiated. As a first application,
we show that the
rationality of Kapranov’s zeta function is stable under pro
ducts. As a second
application, we give an elementary proof of a result of Totar
o
otivic
measures which can be exponentiated. As a first application,
we show that the
rationality of Kapranov’s zeta function is stable under pro
ducts. As a second
application, we give an elementary proof of a result of Totar
o
Original language | English |
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Number of pages | 12 |
Journal | Journal of the Ramanujan Mathematical Society |
Publication status | Published - 2015 |
Keywords
- Grothendieck ring of varieties
- motivic measure
- Kapranov’s zeta function
- Witt vectors
- λ -ring
- Kimura-finiteness
- pure and mixed motives
- G -varieties