Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
We analyze and completely describe the four cases when the Hitchin fibration on a 2-dimensional moduli space of irregular Higgs bundles over CP¹ has a single singular fiber. The case when the fiber at infinity is of type I₀* is further analyzed, and we give constructions of all the possible configur...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2019 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210303 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber / P. Ivanics, A.I. Stipsicz, S. Szabó // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862558505395814400 |
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| author | Ivanics, P. Stipsicz, A.I. Szabó, S. |
| author_facet | Ivanics, P. Stipsicz, A.I. Szabó, S. |
| citation_txt | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber / P. Ivanics, A.I. Stipsicz, S. Szabó // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We analyze and completely describe the four cases when the Hitchin fibration on a 2-dimensional moduli space of irregular Higgs bundles over CP¹ has a single singular fiber. The case when the fiber at infinity is of type I₀* is further analyzed, and we give constructions of all the possible configurations of singular curves in elliptic fibrations having this type of singular fiber at infinity.
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| first_indexed | 2025-12-07T21:25:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210303 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:25:05Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ivanics, P. Stipsicz, A.I. Szabó, S. 2025-12-05T09:27:37Z 2019 Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber / P. Ivanics, A.I. Stipsicz, S. Szabó // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14J27; 14H40; 14H60 arXiv: 1808.10125 https://nasplib.isofts.kiev.ua/handle/123456789/210303 https://doi.org/10.3842/SIGMA.2019.085 We analyze and completely describe the four cases when the Hitchin fibration on a 2-dimensional moduli space of irregular Higgs bundles over CP¹ has a single singular fiber. The case when the fiber at infinity is of type I₀* is further analyzed, and we give constructions of all the possible configurations of singular curves in elliptic fibrations having this type of singular fiber at infinity. The authors acknowledge support of NKFIH through the Élvonal (Frontier) program, with grant KKP126683. The third author was also supported by the grant NKFIH 120697. The authors would like to thank the anonymous referees for many helpful comments, suggestions, and corrections. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber Article published earlier |
| spellingShingle | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber Ivanics, P. Stipsicz, A.I. Szabó, S. |
| title | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber |
| title_full | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber |
| title_fullStr | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber |
| title_full_unstemmed | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber |
| title_short | Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber |
| title_sort | hitchin fibrations on two-dimensional moduli spaces of irregular higgs bundles with one singular fiber |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210303 |
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