Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces
In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety V of P N ( C ) with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular fo...
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| Veröffentlicht in: | The Journal of Geometric Analysis 2022-02, Vol.32 (2), Article 52 |
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| container_title | The Journal of Geometric Analysis |
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| creator | Si, Duc Quang |
| description | In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety
V
of
P
N
(
C
)
with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces. |
| doi_str_mv | 10.1007/s12220-021-00765-3 |
| format | Article |
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N
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C
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with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces.</description><identifier>ISSN: 1050-6926</identifier><identifier>EISSN: 1559-002X</identifier><identifier>DOI: 10.1007/s12220-021-00765-3</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Abstract Harmonic Analysis ; Convex and Discrete Geometry ; Differential Geometry ; Dynamical Systems and Ergodic Theory ; Fourier Analysis ; Geometry ; Global Analysis and Analysis on Manifolds ; Hyperspaces ; Mathematics ; Mathematics and Statistics ; Theorems</subject><ispartof>The Journal of Geometric Analysis, 2022-02, Vol.32 (2), Article 52</ispartof><rights>Mathematica Josephina, Inc. 2021</rights><rights>COPYRIGHT 2022 Springer</rights><rights>Mathematica Josephina, Inc. 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c358t-7e76a0bd80aab7fc954f94af336098f4beab374a23827742674b9fc0be277cfd3</citedby><cites>FETCH-LOGICAL-c358t-7e76a0bd80aab7fc954f94af336098f4beab374a23827742674b9fc0be277cfd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12220-021-00765-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12220-021-00765-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Si, Duc Quang</creatorcontrib><title>Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces</title><title>The Journal of Geometric Analysis</title><addtitle>J Geom Anal</addtitle><description>In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety
V
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P
N
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C
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V
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P
N
(
C
)
with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s12220-021-00765-3</doi></addata></record> |
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| ispartof | The Journal of Geometric Analysis, 2022-02, Vol.32 (2), Article 52 |
| issn | 1050-6926 1559-002X |
| language | eng |
| recordid | cdi_proquest_journals_2616649174 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Hyperspaces Mathematics Mathematics and Statistics Theorems |
| title | Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces |
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