2 problems

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The LQEL classification conjecture for cyclic Picard group
The LQEL classification conjecture. $X$ is obtained by taking linear sections and/or isomorphic projections of a rational homogeneous manifold in its natural minimal embedding.
Conjectureopenprojective-geometry rational-homogeneous-varieties secant-defective-varietiesarXiv posted 2 days ago
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The dual-defective-to-LQEL conjecture
The dual-defective-to-LQEL conjecture. $X$ is a local quadratic entry locus manifold (LQELM).
Conjectureopendual-varieties projective-geometry secant-defective-varietiesarXiv posted 2 days ago

The LQEL classification conjecture for cyclic Picard group