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Motivic Complexes of Weight Three and Pairs of Simplices in Projective 3-Space

✍ Scribed by Jianqiang Zhao

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
763 KB
Volume
161
Category
Article
ISSN
0001-8708

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✦ Synopsis

Explicit definition using cross ratio. 2.4. Bloch group B 3 (F ) and generalized cross ratio. 3. Isomorphisms between A n Â6 n and geometric candidates of L &n (F) 6 . 3.1. The maps a n : A n Â6 n Ä B n , n=2, 3. 3.2. Proof of a 3 (6 3 )=0. 3.3. The maps l n : B n Ä A n Â6 n , n=2, 3. 3.4. Multiple polylogarithmic pairs of weight three. 3.5. Proof of Proposition 3.15: l 3 is well defined. 3.6. Injectivity of l n : B n Ä A n Â6 n , n=2, 3. 3.7. Surjectivity of l n : B n Ä A n Â6 n , n=2, 3. 4. A byproduct: An isomorphism of two complexes.

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