{"abstract":[{"text":"We study the singularities of the moduli space of degree e maps from smooth genus g curves to an arbitrary smooth hypersurface of low degree. For e large compared to g, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2412.14923"}],"day":"19","arxiv":1,"oa":1,"doi":"10.48550/arXiv.2412.14923","publication":"arXiv","date_created":"2025-02-07T12:04:11Z","citation":{"mla":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2412.14923\">10.48550/arXiv.2412.14923</a>.","ieee":"J. Glas and M. Hase-Liu, “Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method,” <i>arXiv</i>. .","apa":"Glas, J., &#38; Hase-Liu, M. (n.d.). Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2412.14923\">https://doi.org/10.48550/arXiv.2412.14923</a>","chicago":"Glas, Jakob, and Matthew  Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2412.14923\">https://doi.org/10.48550/arXiv.2412.14923</a>.","ista":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2412.14923\">10.48550/arXiv.2412.14923</a>.","ama":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2412.14923\">10.48550/arXiv.2412.14923</a>","short":"J. Glas, M. Hase-Liu, ArXiv (n.d.)."},"related_material":{"record":[{"id":"18295","status":"public","relation":"earlier_version"}]},"type":"preprint","year":"2024","corr_author":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"repository","title":"Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method","article_processing_charge":"No","date_published":"2024-12-19T00:00:00Z","department":[{"_id":"TiBr"}],"oa_version":"Preprint","date_updated":"2026-07-29T10:05:58Z","external_id":{"arxiv":["2412.14923"]},"publication_status":"draft","researchdata_availability":"no","status":"public","month":"12","language":[{"iso":"eng"}],"supplementarymaterial":"no","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"_id":"19013","license":"https://creativecommons.org/licenses/by/4.0/","das_tickbox":"0","author":[{"last_name":"Glas","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","first_name":"Jakob","full_name":"Glas, Jakob"},{"last_name":"Hase-Liu","first_name":"Matthew ","full_name":"Hase-Liu, Matthew "}]}