Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves

We prove a general version of Siu’s lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L 2 extension theorem and an optimal L 2 m extension theorem for Kähler fibrations. These results are used to prove the positivity of twisted relative plur...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Mathematische annalen 2020, Vol.377 (1-2), p.675-722
Hauptverfasser:	Zhou, Xiangyu, Zhu, Langfeng
Format:	Artikel
Sprache:	eng
Schlagworte:	Bundles Harmonic functions Mathematics Mathematics and Statistics Sheaves Theorems
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	722
container_issue	1-2
container_start_page	675
container_title	Mathematische annalen
container_volume	377
creator	Zhou, Xiangyu Zhu, Langfeng
description	We prove a general version of Siu’s lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L 2 extension theorem and an optimal L 2 m extension theorem for Kähler fibrations. These results are used to prove the positivity of twisted relative pluricanonical bundles and their direct images for Kähler fibrations and to answer a comparison question about singular metrics of twisted pluricanonical bundles.
doi_str_mv	10.1007/s00208-018-1783-8
format	Article
fullrecord	<record><control><sourceid>proquest_sprin</sourceid><recordid>TN_cdi_proquest_journals_2403315266</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2403315266</sourcerecordid><originalsourceid>FETCH-LOGICAL-p718-2d8a1d7efb73a12f185d135f8c553d61ab3475701432a3ae27773d048db472433</originalsourceid><addsrcrecordid>eNpFkEtOAzEMhiMEEuVxAHaR2DJgx5MmW1TxkiqxoGIbpU0GpppmwiQDLLkG1-MkpCoSG1u2f_m3P8bOEC4RQF0lAAG6AtQVKk2V3mMTrElUqEHts0kZy0pqwkN2lNIaAAhATtjzUzv-fH0n3vnNxl7wPuZ2Yzs-F9x_Zh9S2wdug-M2xq5d2VzqxHPP80ebsnc8duNQ-qEPJXY8vXr77tMJO2hsl_zpXz5mi9ubxey-mj_ePcyu51VU5VLhtEWnfLNUZFE0qKVDko1eSUluinZJtZIKto9Ysl4opchBrd2yVqImOmbnu7Vx6N9Gn7JZ9-MQiqMRNRChFNNpUYmdKsWhDS9--FchmC0-s8NnCj6zxWc0_QJttmMW</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2403315266</pqid></control><display><type>article</type><title>Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves</title><source>Springer Nature - Complete Springer Journals</source><creator>Zhou, Xiangyu ; Zhu, Langfeng</creator><creatorcontrib>Zhou, Xiangyu ; Zhu, Langfeng</creatorcontrib><description>We prove a general version of Siu’s lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L 2 extension theorem and an optimal L 2 m extension theorem for Kähler fibrations. These results are used to prove the positivity of twisted relative pluricanonical bundles and their direct images for Kähler fibrations and to answer a comparison question about singular metrics of twisted pluricanonical bundles.</description><identifier>ISSN: 0025-5831</identifier><identifier>EISSN: 1432-1807</identifier><identifier>DOI: 10.1007/s00208-018-1783-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Bundles ; Harmonic functions ; Mathematics ; Mathematics and Statistics ; Sheaves ; Theorems</subject><ispartof>Mathematische annalen, 2020, Vol.377 (1-2), p.675-722</ispartof><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2018.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p718-2d8a1d7efb73a12f185d135f8c553d61ab3475701432a3ae27773d048db472433</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/s00208-018-1783-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00208-018-1783-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Zhou, Xiangyu</creatorcontrib><creatorcontrib>Zhu, Langfeng</creatorcontrib><title>Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves</title><title>Mathematische annalen</title><addtitle>Math. Ann</addtitle><description>We prove a general version of Siu’s lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L 2 extension theorem and an optimal L 2 m extension theorem for Kähler fibrations. These results are used to prove the positivity of twisted relative pluricanonical bundles and their direct images for Kähler fibrations and to answer a comparison question about singular metrics of twisted pluricanonical bundles.</description><subject>Bundles</subject><subject>Harmonic functions</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Sheaves</subject><subject>Theorems</subject><issn>0025-5831</issn><issn>1432-1807</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkEtOAzEMhiMEEuVxAHaR2DJgx5MmW1TxkiqxoGIbpU0GpppmwiQDLLkG1-MkpCoSG1u2f_m3P8bOEC4RQF0lAAG6AtQVKk2V3mMTrElUqEHts0kZy0pqwkN2lNIaAAhATtjzUzv-fH0n3vnNxl7wPuZ2Yzs-F9x_Zh9S2wdug-M2xq5d2VzqxHPP80ebsnc8duNQ-qEPJXY8vXr77tMJO2hsl_zpXz5mi9ubxey-mj_ePcyu51VU5VLhtEWnfLNUZFE0qKVDko1eSUluinZJtZIKto9Ysl4opchBrd2yVqImOmbnu7Vx6N9Gn7JZ9-MQiqMRNRChFNNpUYmdKsWhDS9--FchmC0-s8NnCj6zxWc0_QJttmMW</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Zhou, Xiangyu</creator><creator>Zhu, Langfeng</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope/></search><sort><creationdate>2020</creationdate><title>Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves</title><author>Zhou, Xiangyu ; Zhu, Langfeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p718-2d8a1d7efb73a12f185d135f8c553d61ab3475701432a3ae27773d048db472433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Bundles</topic><topic>Harmonic functions</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Sheaves</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhou, Xiangyu</creatorcontrib><creatorcontrib>Zhu, Langfeng</creatorcontrib><jtitle>Mathematische annalen</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhou, Xiangyu</au><au>Zhu, Langfeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves</atitle><jtitle>Mathematische annalen</jtitle><stitle>Math. Ann</stitle><date>2020</date><risdate>2020</risdate><volume>377</volume><issue>1-2</issue><spage>675</spage><epage>722</epage><pages>675-722</pages><issn>0025-5831</issn><eissn>1432-1807</eissn><abstract>We prove a general version of Siu’s lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L 2 extension theorem and an optimal L 2 m extension theorem for Kähler fibrations. These results are used to prove the positivity of twisted relative pluricanonical bundles and their direct images for Kähler fibrations and to answer a comparison question about singular metrics of twisted pluricanonical bundles.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00208-018-1783-8</doi><tpages>48</tpages></addata></record>
fulltext	fulltext
identifier	ISSN: 0025-5831
ispartof	Mathematische annalen, 2020, Vol.377 (1-2), p.675-722
issn	0025-5831 1432-1807
language	eng
recordid	cdi_proquest_journals_2403315266
source	Springer Nature - Complete Springer Journals
subjects	Bundles Harmonic functions Mathematics Mathematics and Statistics Sheaves Theorems
title	Siu’s lemma, optimal L2 extension and applications to twisted pluricanonical sheaves
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T03%3A58%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Siu%E2%80%99s%20lemma,%20optimal%20L2%20extension%20and%20applications%20to%20twisted%20pluricanonical%20sheaves&rft.jtitle=Mathematische%20annalen&rft.au=Zhou,%20Xiangyu&rft.date=2020&rft.volume=377&rft.issue=1-2&rft.spage=675&rft.epage=722&rft.pages=675-722&rft.issn=0025-5831&rft.eissn=1432-1807&rft_id=info:doi/10.1007/s00208-018-1783-8&rft_dat=%3Cproquest_sprin%3E2403315266%3C/proquest_sprin%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2403315266&rft_id=info:pmid/&rfr_iscdi=true