Mathematics > Algebraic Geometry
[Submitted on 4 Oct 2022 (v1), last revised 18 Sep 2023 (this version, v4)]
Title:Mordell-Weil groups and automorphism groups of elliptic K3 surfaces
View PDFAbstract:We present a method to calculate the action of the Mordell-Weil group of an elliptic K3 surface on the numerical Néron-Severi lattice of the K3 surface. As an application, we compute a finite generating set of the automorphism group of a K3 surface birational to the double plane branched along a 6-cuspidal sextic curve of torus type.
Submission history
From: Ichiro Shimada [view email][v1] Tue, 4 Oct 2022 02:45:04 UTC (32 KB)
[v2] Fri, 7 Apr 2023 09:02:17 UTC (38 KB)
[v3] Thu, 17 Aug 2023 05:44:06 UTC (36 KB)
[v4] Mon, 18 Sep 2023 05:02:13 UTC (36 KB)
References & Citations
Bookmark
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
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.