Counting Surfaces Singular Along a Line in P3

Shachar Carmeli; Lev Radzivilovsky

doi:10.1307/mmj/20205956

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2022 Counting Surfaces Singular Along a Line in

{\mathbb{P}^{3}}

Shachar Carmeli, Lev Radzivilovsky

Abstract

We enumerate the surfaces of degree d in ${\mathbb{P}^{3}}$ having a singular line of order k and passing through δ generic points (where δ is the dimension of moduli space of such surfaces).

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Shachar Carmeli. Lev Radzivilovsky. "Counting Surfaces Singular Along a Line in ${\mathbb{P}^{3}}$ ." Michigan Math. J. Advance Publication 1 - 22, 2022. https://doi.org/10.1307/mmj/20205956

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Received: 27 July 2020; Revised: 8 January 2021; Published: 2022

First available in Project Euclid: 29 April 2022

Digital Object Identifier: 10.1307/mmj/20205956

Subjects:

Primary: 14N10

Secondary: 14N15 , 14N25

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