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Threefolds containing all curves are rationally connected

The paper establishes that for smooth projective threefolds, the property of containing every smooth projective curve as a subvariety is equivalent to the variety being rationally connected.

Original authors: Sixuan Lou

Published 2026-08-14
📖 1 min read🧠 Deep dive

Original authors: Sixuan Lou

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

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