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arxiv: 0812.4584 · v2 · pith:P2MZ4YHDnew · submitted 2008-12-25 · 🧮 math.AG · math.AT

Motivic characteristic classes

classification 🧮 math.AG math.AT
keywords motivicclassescharacteristichomologyadditivityalgebraiccapturingcharacteristics
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Motivic characteristic classes of possibly singular algebraic varieties are homology class versions of motivic characteristics, not classes in the so-called motivic (co)homology. This paper is a survey on them with more emphasis on capturing infinitude finitely and on the motivic nature, in other words, the scissor relation or additivity.

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