A family of cubic fourfolds with finite-dimensional motive
classification
🧮 math.AG
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cubicfourfoldsfamilyfinite-dimensionalmotivealgebraiccertaincombined
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We prove that cubic fourfolds in a certain 10-dimensional family have finite-dimensional motive. The proof is based on the van Geemen-Izadi construction of an algebraic Kuga-Satake correspondence for these cubic fourfolds, combined with Voisin's method of "spread". Some consequences are given.
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