3 problems

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Classification conjecture for first-order congruences with smooth pure fundamental locus
Classification conjecture. The first order congruences whose pure fundamental locus $F$ is a smooth variety of codimension two are precisely those obtained in the classification th…
Conjectureopencongruences-of-lines projective-geometry secant-linesarXiv posted 2 days ago
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Conjecture on the classification of Cohen–Macaulay order-one congruences
The classification conjecture. The congruences listed in the theorem and the proposition form the exhaustive list of Cohen–Macaulay, order $1$ , irreducible congruences with smooth…
Conjectureopenclassification congruences-of-lines projective-geometryarXiv posted 2 days ago
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Conjecture on linear normality of the congruence and regularity of its fundamental scheme
The conjecture. The variety
Conjectureopencongruences-of-lines projective-geometry syzygiesarXiv posted 2 days ago

Classification conjecture for first-order congruences with smooth pure fundamental locus