Mathematical Research Letters

Volume 11 (2004)

Number 6

Euclidean scissor congruence groups and mixed Tate motives over dual numbers

Pages: 771 – 784

DOI: http://dx.doi.org/10.4310/MRL.2004.v11.n6.a5

Author

A. B. Goncharov (Brown University)

Abstract

We define Euclidean scissor congruence groups for an arbitrary algebraically closed field $F$ and formulate a conjecture describing them. Using the Euclidean and Non-Euclidean $F$–scissor congruence groups we construct a category which is conjecturally equivalent to a subcategory of the category ${\cal M}_T(F_{\varepsilon})$ of mixed Tate motives over the dual numbers $F_{\varepsilon}:= F[\varepsilon]/\varepsilon^2$.

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