Exponentiation of motivic measures

Gonçalo Jorge Trigo Neri Tabuada, NIRANJAN RAMACHANDRAN

Research output: Contribution to journalArticle

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 languageEnglish
Number of pages12
JournalJournal of the Ramanujan Mathematical Society
Publication statusPublished - 2015

Fingerprint

Exponentiation
Riemann zeta function

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 journalArticle

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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

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