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arxiv: 2509.06666 · v3 · pith:YNGS6WVAnew · submitted 2025-09-08 · 🧮 math.AG

A note on cubic fourfolds containing several planes

classification 🧮 math.AG
keywords planescontainingcubicfourfoldsseveralalongassociatedcase
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We study the geometry, Hodge theory and derived category of cubic fourfolds containing several planes and their associated twisted K3 surfaces. We focus on the case of two planes intersecting along a line.

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