Positively curved Finsler metrics on vector bundles III
The goal of the paper is to extend results about ample or Griffiths positive vector bundles to Kobayashi positive vector bundles. In particular, we show that the quotient bundle of a Kobayashi positive vector bundle is Kobayashi positive, and the tensor product of two Kobayashi positive vector bundl...
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| creator | Wu, Kuang-Ru |
| description | The goal of the paper is to extend results about ample or Griffiths positive
vector bundles to Kobayashi positive vector bundles. In particular, we show
that the quotient bundle of a Kobayashi positive vector bundle is Kobayashi
positive, and the tensor product of two Kobayashi positive vector bundles is
Kobayashi positive.
These results strengthen the conjectural equivalences between ampleness,
Griffiths positivity, and Kobayashi positivity. The proofs rely on the
convexity of Kobayashi positive Finsler metrics and the duality for convex
Finsler metrics. |
| doi_str_mv | 10.48550/arxiv.2312.16848 |
| format | Article |
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vector bundles to Kobayashi positive vector bundles. In particular, we show
that the quotient bundle of a Kobayashi positive vector bundle is Kobayashi
positive, and the tensor product of two Kobayashi positive vector bundles is
Kobayashi positive.
These results strengthen the conjectural equivalences between ampleness,
Griffiths positivity, and Kobayashi positivity. The proofs rely on the
convexity of Kobayashi positive Finsler metrics and the duality for convex
Finsler metrics.</description><identifier>DOI: 10.48550/arxiv.2312.16848</identifier><language>eng</language><subject>Mathematics - Complex Variables ; Mathematics - Differential Geometry</subject><creationdate>2023-12</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2312.16848$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2312.16848$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Wu, Kuang-Ru</creatorcontrib><title>Positively curved Finsler metrics on vector bundles III</title><description>The goal of the paper is to extend results about ample or Griffiths positive
vector bundles to Kobayashi positive vector bundles. In particular, we show
that the quotient bundle of a Kobayashi positive vector bundle is Kobayashi
positive, and the tensor product of two Kobayashi positive vector bundles is
Kobayashi positive.
These results strengthen the conjectural equivalences between ampleness,
Griffiths positivity, and Kobayashi positivity. The proofs rely on the
convexity of Kobayashi positive Finsler metrics and the duality for convex
Finsler metrics.</description><subject>Mathematics - Complex Variables</subject><subject>Mathematics - Differential Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj71qwzAURrV0KGkeoFP1AnZ1Y_15DKZpDYF28G50pRsQ-CdIjmnevk3a6QwfHL7D2DOIUlqlxKtL33EtdxXsStBW2kdmvuYcl7jScOX-klYK_BCnPFDiIy0p-sznia_klzlxvExhoMzbtn1iDyc3ZNr-c8O6w1vXfBTHz_e22R8Lp40tlEBCLQPUiKhqg0IC1eiMNkSCCJysKGj7O3rwTkMdFHkMgMGflLLVhr38ae_P-3OKo0vX_lbQ3wuqH7AQQeQ</recordid><startdate>20231228</startdate><enddate>20231228</enddate><creator>Wu, Kuang-Ru</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20231228</creationdate><title>Positively curved Finsler metrics on vector bundles III</title><author>Wu, Kuang-Ru</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-50beb64d19bbb597b041e9ba767ee0ee1a43ed68bb5c1ca619d5ecbd1bdcf5583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Complex Variables</topic><topic>Mathematics - Differential Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Wu, Kuang-Ru</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wu, Kuang-Ru</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positively curved Finsler metrics on vector bundles III</atitle><date>2023-12-28</date><risdate>2023</risdate><abstract>The goal of the paper is to extend results about ample or Griffiths positive
vector bundles to Kobayashi positive vector bundles. In particular, we show
that the quotient bundle of a Kobayashi positive vector bundle is Kobayashi
positive, and the tensor product of two Kobayashi positive vector bundles is
Kobayashi positive.
These results strengthen the conjectural equivalences between ampleness,
Griffiths positivity, and Kobayashi positivity. The proofs rely on the
convexity of Kobayashi positive Finsler metrics and the duality for convex
Finsler metrics.</abstract><doi>10.48550/arxiv.2312.16848</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2312.16848 |
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| language | eng |
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| source | arXiv.org |
| subjects | Mathematics - Complex Variables Mathematics - Differential Geometry |
| title | Positively curved Finsler metrics on vector bundles III |
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