Normalization of the congruence of bitangents to a hypersurface in P3

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A surface in the Grassmannian Gr(2, 4) is called a congruence. In this paper, we consider the normalization of the congruence of bitangents to a hypersurface in P3. 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 P3. (c) 2022 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER
Issue Date
2023-02
Language
English
Article Type
Article
Citation

JOURNAL OF PURE AND APPLIED ALGEBRA, v.227, no.2

ISSN
0022-4049
DOI
10.1016/j.jpaa.2022.107183
URI
http://hdl.handle.net/10203/301136
Appears in Collection
MA-Journal Papers(저널논문)
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