Chow motives

General Introduction

This is Pure motives with respect to rational equivalence.

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Online References

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Paper References

Scholl: Classical motives

Kuennemann: Chow motive of an abelian scheme (in Motives vol 1)

André: Une introduction aux motifs

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Definition

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Properties

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Standard theorems

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Open Problems

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Connections to Number Theory

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Computations and Examples

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History and Applications

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Some Research Articles

Andrea Miller: Chow motives of universal families over some Shimura surfaces

http://mathoverflow.net/questions/75017/decomposition-of-motives-of-cellular-varieties

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Other Information

http://mathoverflow.net/questions/10820/is-the-scalar-extension-functor-for-chow-motives-conservative

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General Introduction