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arxiv: 1708.05671 · v1 · pith:N2L2ZVMInew · submitted 2017-08-17 · 🧮 math.AG

Some cubics with finite-dimensional motive

classification 🧮 math.AG
keywords cubicsconjecturefinite-dimensionalmotivedimensionfamilyfanoillustration
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This small note presents in any dimension a family of cubics that have finite-dimensional motive (in the sense of Kimura). As an illustration, we verify a conjecture of Voevodsky for these cubics, and a conjecture of Murre for the Fano variety of lines of these cubics.

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