Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Algebraic Geometry

arXiv:1812.02413 (math)
[Submitted on 6 Dec 2018 (v1), last revised 8 Jan 2021 (this version, v3)]

Title:Counting Surfaces Singular Along a Line in $P^3$

Authors:Shachar Carmeli, Lev Radzivilovsky
View PDF
Abstract: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).
Comments: The second version fixes a computation mistake from the first version, example of cubic scrolls is added. The third version is grammar and style improvements
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14N15
Cite as: arXiv:1812.02413 [math.AG]
  (or arXiv:1812.02413v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.02413

Submission history

From: Lev Radzivilovsky [view email]
[v1] Thu, 6 Dec 2018 09:21:51 UTC (21 KB)
[v2] Sun, 15 Nov 2020 09:14:19 UTC (21 KB)
[v3] Fri, 8 Jan 2021 09:56:36 UTC (20 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.AG
< prev   |   next >
new | recent | 2018-12
Change to browse by:
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)