Séminaire de Géométrie Algébrique

Le mardi 17 octobre 2017 à 10:00 - salle 330

Mingmin Shen
The geometry of lines on a cubic fourfold

I will explain how a curve class on a cubic hypersurface can be written explicitly as a linear combination of lines. This allows us to relate the (integral) motive of the variety of lines on a cubic fourfold to the motive of the cubic fourfold. Then a decomposition of the diagonal on the cubic fourfold has interesting consequences on algebraic cycles on its variety of lines.

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