2 problems

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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).
opendual-varieties projective-geometry secant-defective-varieties
03
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.
openprojective-geometry rational-homogeneous-varieties secant-defective-varieties
06

The dual-defective-to-LQEL conjecture