Counting Surfaces Singular Along a Line in \(P^3\)

We enumerate the number of surfaces of degree \(d\) in \(P^3\) having a singular line of order \(k\), passing through \(\delta\) generic points (where \(\delta\) is the dimension of moduli space of such surfaces).

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Bibliographic Details
Published in:arXiv.org 2021-01
Main Authors: Carmeli, Shachar, Radzivilovsky, Lev
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:We enumerate the number of surfaces of degree \(d\) in \(P^3\) having a singular line of order \(k\), passing through \(\delta\) generic points (where \(\delta\) is the dimension of moduli space of such surfaces).
ISSN:2331-8422