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1 results

  • The universal Euler characteristic for varieties of characteristic zero

  • Franziska Bittner
  • Journal:
    Compositio Mathematica / Volume 140 / Issue 4 / July 2004
    Published online by Cambridge University Press:
    04 December 2007, pp. 1011-1032
    Print publication:
    July 2004
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  • Using the weak factorization theorem, we give a simple presentation for the value group of the universal Euler characteristic with compact support for varieties of characteristic zero and describe the value group of the universal Euler characteristic of pairs. This gives a new proof for the existence of natural Euler characteristics with values in the Grothendieck group of Chow motives. A generalization of the presentation to the relative setting allows us to define duality and the six operations.