Finite symplectic automorphism groups of supersingular K3 surfaces

[2405.06341] Finite symplectic automorphism groups of supersingular K3 surfaces Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Algebraic Geometry arXiv:2405.06341 (math) [Submitted on 10 May 2024 ( v1 ), last revised 1 May 2026 (this version, v2)] Title: Finite symplectic automorphism groups of supersingular K3 surfaces Authors: Hisanori Ohashi , Matthias Schütt View a PDF of the paper titled Finite symplectic automorphism groups of supersingular K3 surfaces, by Hisanori Ohashi and 1 other authors View PDF HTML (experimental) Abstract: We give a complete classification of finite groups acting symplectically on supersingular K3 surfaces of Artin invariant one. Using work of Dolgachev and Keum, this provides the full classification of tame finite symplectic automorphism groups on any K3 surface, and in particular of all finite symplectic automorphism groups on K3 surfaces in characteristic p>11. Comments: v2: 45 pages, 2 figures; major revision, improving exposition, correcting typos and addressing a gap in the literature needed for Thm 4.4 (now Thm 4.1); main results unchanged Subjects: Algebraic Geometry (math.AG) Cite as: arXiv:2405.06341 [math.AG] (or arXiv:2405.06341v2 [math.AG] for this version) https://doi.org/10.48550/arXiv.2405.06341 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Matthias Schütt [ view email ] [v1] Fri, 10 May 2024 09:15:08 UTC (792 KB) [v2] Fri, 1 May 2026 07:25:39 UTC (799 KB) Full-text links: Access Paper: View a PDF of the paper titled Finite symplectic automorphism groups of supersingular K3 surfaces, by Hisanori Ohashi and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.AG < prev | next > new | recent | 2024-05 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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