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Normalization of congruence of bitangents to a hypersurface in $mathbb P^3$

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 نشر من قبل Hosung Kim
 تاريخ النشر 2021
  مجال البحث
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A congruence is a surface in the Grassmannian ${rm Gr}(2, 4)$. In this paper, we consider the normalization of congruence of bitangents to a hypersurface in $mathbb P^3$. We call it the Fano congruence of bitangents. We give a criterion for smoothness of the Fano congruence of bitangents and describe explicitly their degenerations in a general Lefschetz pencil in the space of hypersurfaces in $mathbb P^3$.



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