[{"title":"Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method","status":"public","oa":1,"month":"12","arxiv":1,"date_published":"2024-12-19T00:00:00Z","_id":"19013","date_updated":"2026-07-29T10:05:58Z","corr_author":"1","OA_place":"repository","date_created":"2025-02-07T12:04:11Z","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"}],"das_tickbox":"0","fulldoi":"https://doi.org/10.48550/arXiv.2412.14923","related_material":{"record":[{"relation":"earlier_version","id":"18295","status":"public"}]},"researchdata_availability":"no","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2412.14923"}],"supplementarymaterial":"no","author":[{"id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas","full_name":"Glas, Jakob","first_name":"Jakob"},{"first_name":"Matthew ","last_name":"Hase-Liu","full_name":"Hase-Liu, Matthew "}],"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>.","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>.","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>","short":"J. Glas, M. Hase-Liu, ArXiv (n.d.).","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>. .","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>","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>."},"article_processing_charge":"No","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"publication":"arXiv","type":"preprint","year":"2024","department":[{"_id":"TiBr"}],"language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"draft","doi":"10.48550/arXiv.2412.14923","oa_version":"Preprint","day":"19","external_id":{"arxiv":["2412.14923"]}}]