Abstract
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 |
|---|---|
| Number of pages | 12 |
| Journal | Journal of the Ramanujan Mathematical Society |
| Publication status | Published - 2015 |
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Keywords
- Grothendieck ring of varieties
- motivic measure
- Kapranov’s zeta function
- Witt vectors
- λ -ring
- Kimura-finiteness
- pure and mixed motives
- G -varieties
Cite this
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Exponentiation of motivic measures. / Tabuada, Gonçalo Jorge Trigo Neri; RAMACHANDRAN, NIRANJAN .
In: Journal of the Ramanujan Mathematical Society, 2015.Research output: Contribution to journal › Article
TY - JOUR
T1 - Exponentiation of motivic measures
AU - Tabuada, Gonçalo Jorge Trigo Neri
AU - RAMACHANDRAN, NIRANJAN
N1 - Sem pdf conforme despacho.
PY - 2015
Y1 - 2015
N2 - In this short note we establish some properties of all those motivicmeasures which can be exponentiated. As a first application,we show that therationality of Kapranov’s zeta function is stable under products. As a secondapplication, we give an elementary proof of a result of Totaro
AB - In this short note we establish some properties of all those motivicmeasures which can be exponentiated. As a first application,we show that therationality of Kapranov’s zeta function is stable under products. As a secondapplication, we give an elementary proof of a result of Totaro
KW - Grothendieck ring of varieties
KW - motivic measure
KW - Kapranov’s zeta function
KW - Witt vectors
KW - λ -ring
KW - Kimura-finiteness
KW - pure and mixed motives
KW - G -varieties
UR - http://www.math.umd.edu/~atma/Exponentiation.pdf
M3 - Article
JO - Journal of the Ramanujan Mathematical Society
JF - Journal of the Ramanujan Mathematical Society
ER -