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arxiv: 1811.02876 · v2 · pith:4J5HHP2Lnew · submitted 2018-11-07 · 🧮 math.AG

Hodge theory of cubic fourfolds, their Fano varieties, and associated K3 categories

classification 🧮 math.AG
keywords hodgeassociatedcubicaspectsbirationalcategoriescomederived
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These are notes of lectures given at the school `Birational Geometry of Hypersurfaces' in Gargnano in March 2018. The main goal was to discuss the Hodge structures that come naturally associated with a cubic fourfold. The emphasis is on the Hodge and lattice theoretic aspects with many technical details worked out explicitly. More geometric or derived results are only hinted at.

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