Exponentiation of motivic measures

Gonçalo Jorge Trigo Neri Tabuada; NIRANJAN  RAMACHANDRAN

Exponentiation of motivic measures

Gonçalo Jorge Trigo Neri Tabuada, NIRANJAN RAMACHANDRAN

Research output: Contribution to journal › Article

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

Original language	English
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

Access to Document

http://www.math.umd.edu/~atma/Exponentiation.pdf

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title = "Exponentiation of motivic measures",

abstract = "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{\textquoteright}s zeta function is stable under products. As a secondapplication, we give an elementary proof of a result of Totaro",

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AU - RAMACHANDRAN, NIRANJAN

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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

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