On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties
UDC 517.53 We prove the unicity theorems for meromorphic mappings of a complete Kähler manifold into projective varieties† sharing few hypersurfaces in subgeneral position without counting multiplicities, where all zeros with multiplicities greater than a certain number are omitted.&...
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| Date: | 2026 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6333 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512334970093568 |
|---|---|
| author | Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung |
| author_facet | Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung |
| author_sort | Pham, Duc Thoan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-23T13:26:25Z |
| description | UDC 517.53
We prove the unicity theorems for meromorphic mappings of a complete Kähler manifold into projective varieties† sharing few hypersurfaces in subgeneral position without counting multiplicities, where all zeros with multiplicities greater than a certain number are omitted.  We also present the uniqueness theorem in which the assumption of nondegeneracy of the mappings is no longer required.  These results are extensions and generalizations of some recent results.  |
| doi_str_mv | 10.37863/umzh.v74i11.6333 |
| first_indexed | 2026-03-24T03:27:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6333 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:27:09Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/97/9dc064a17129d2c190894be56eb3fa97 |
| spelling | umjimathkievua-article-63332026-02-23T13:26:25Z On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung Uniqueness theorem, meromorphic mapping, hypersurfaces, complete K\ Primary 32H30, 32A22; Secondary 30D35 UDC 517.53 We prove the unicity theorems for meromorphic mappings of a complete Kähler manifold into projective varieties† sharing few hypersurfaces in subgeneral position without counting multiplicities, where all zeros with multiplicities greater than a certain number are omitted.  We also present the uniqueness theorem in which the assumption of nondegeneracy of the mappings is no longer required.  These results are extensions and generalizations of some recent results.  УДК 517.53 Про проблеми єдиності мероморфних відображень повних многовидів Кахлера у проєктивні многовиди Доведено теорему єдиності для мероморфних відображень повного многовиду Кахлера в проєктивні многовиди, що мають кілька спільних гіперповерхонь у підзагальному положенні, без підрахунку кратностей, де всі нулі з кратністю більше певного числа пропущено.  Також наведено теорему єдиності, в якій припущення про невиродженість відображень більше не вимагається.  Ці результати є розширеннями та узагальненнями деяких останніх результатів.  Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6333 10.37863/umzh.v74i11.6333 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1506 - 1522 Український математичний журнал; Том 74 № 11 (2022); 1506 - 1522 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6333/9330 Copyright (c) 2022 Duc Thoan Pham |
| spellingShingle | Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung Pham, Duc Thoan Le, Ngoc Quynh Nguyen, Thi Nhung On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_alt | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_full | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_fullStr | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_full_unstemmed | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_short | On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties |
| title_sort | on the problems of uniqueness of meromorphic mappings from complete kähler manifolds into projective varieties |
| topic_facet | Uniqueness theorem meromorphic mapping hypersurfaces complete K\ Primary 32H30 32A22; Secondary 30D35 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6333 |
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