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Lp Metric Geometry of Big and Nef Cohomology Classes
Let ( X , ω ) be a compact Kähler manifold of dimension n , and let θ be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric d p , p ≥ 1, on the finite energy space E p ( X , θ ) , making it a complete geodesic metric space.
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| Published in: | Acta mathematica vietnamica 2020-03, Vol.45 (1), p.53-69 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c293t-3c239781f39a02a995f150f5db30c4bd8d43c05a0c5eaaff57b22979f94d77033 |
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| cites | cdi_FETCH-LOGICAL-c293t-3c239781f39a02a995f150f5db30c4bd8d43c05a0c5eaaff57b22979f94d77033 |
| container_end_page | 69 |
| container_issue | 1 |
| container_start_page | 53 |
| container_title | Acta mathematica vietnamica |
| container_volume | 45 |
| creator | Di Nezza, Eleonora Lu, Chinh H. |
| description | Let (
X
,
ω
) be a compact Kähler manifold of dimension
n
, and let
θ
be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric
d
p
,
p
≥ 1, on the finite energy space
E
p
(
X
,
θ
)
, making it a complete geodesic metric space. |
| doi_str_mv | 10.1007/s40306-019-00343-4 |
| format | article |
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X
,
ω
) be a compact Kähler manifold of dimension
n
, and let
θ
be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric
d
p
,
p
≥ 1, on the finite energy space
E
p
(
X
,
θ
)
, making it a complete geodesic metric space.</description><identifier>ISSN: 0251-4184</identifier><identifier>EISSN: 2315-4144</identifier><identifier>DOI: 10.1007/s40306-019-00343-4</identifier><language>eng</language><publisher>Singapore: Springer Singapore</publisher><subject>Geometry ; Homology ; Mathematics ; Mathematics and Statistics ; Metric space</subject><ispartof>Acta mathematica vietnamica, 2020-03, Vol.45 (1), p.53-69</ispartof><rights>Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2019</rights><rights>Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2019.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c293t-3c239781f39a02a995f150f5db30c4bd8d43c05a0c5eaaff57b22979f94d77033</citedby><cites>FETCH-LOGICAL-c293t-3c239781f39a02a995f150f5db30c4bd8d43c05a0c5eaaff57b22979f94d77033</cites><orcidid>0000-0003-4002-7454</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Di Nezza, Eleonora</creatorcontrib><creatorcontrib>Lu, Chinh H.</creatorcontrib><title>Lp Metric Geometry of Big and Nef Cohomology Classes</title><title>Acta mathematica vietnamica</title><addtitle>Acta Math Vietnam</addtitle><description>Let (
X
,
ω
) be a compact Kähler manifold of dimension
n
, and let
θ
be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric
d
p
,
p
≥ 1, on the finite energy space
E
p
(
X
,
θ
)
, making it a complete geodesic metric space.</description><subject>Geometry</subject><subject>Homology</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Metric space</subject><issn>0251-4184</issn><issn>2315-4144</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAQhS0EEhX0DzBZYg6cfec6HiGCglRggdlyHLsEtXWx26H_nkCQ2JjuDe97J32MXQi4EgD6uhAgzCoQpgJAwoqO2ESiUBUJomM2AanEkGs6ZdNS-hYE6hnoWk0YLbb8Kexy7_k8pPWQDjxFftsvudt0_DlE3qT3tE6rtDzwZuVKCeWcnUS3KmH6e8_Y2_3da_NQLV7mj83NovLS4K5CL9HoWkQ0DqQzRkWhIKquRfDUdnVH6EE58Co4F6PSrZRGm2io0xoQz9jluLvN6XMfys5-pH3eDC-txFoZIkI5tOTY8jmVkkO029yvXT5YAfZbkB0F2UGQ_RFkaYBwhMpQ3ixD_pv-h_oCfj5l5g</recordid><startdate>20200301</startdate><enddate>20200301</enddate><creator>Di Nezza, Eleonora</creator><creator>Lu, Chinh H.</creator><general>Springer Singapore</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4002-7454</orcidid></search><sort><creationdate>20200301</creationdate><title>Lp Metric Geometry of Big and Nef Cohomology Classes</title><author>Di Nezza, Eleonora ; Lu, Chinh H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-3c239781f39a02a995f150f5db30c4bd8d43c05a0c5eaaff57b22979f94d77033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Geometry</topic><topic>Homology</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Metric space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Di Nezza, Eleonora</creatorcontrib><creatorcontrib>Lu, Chinh H.</creatorcontrib><collection>CrossRef</collection><jtitle>Acta mathematica vietnamica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Di Nezza, Eleonora</au><au>Lu, Chinh H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lp Metric Geometry of Big and Nef Cohomology Classes</atitle><jtitle>Acta mathematica vietnamica</jtitle><stitle>Acta Math Vietnam</stitle><date>2020-03-01</date><risdate>2020</risdate><volume>45</volume><issue>1</issue><spage>53</spage><epage>69</epage><pages>53-69</pages><issn>0251-4184</issn><eissn>2315-4144</eissn><abstract>Let (
X
,
ω
) be a compact Kähler manifold of dimension
n
, and let
θ
be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric
d
p
,
p
≥ 1, on the finite energy space
E
p
(
X
,
θ
)
, making it a complete geodesic metric space.</abstract><cop>Singapore</cop><pub>Springer Singapore</pub><doi>10.1007/s40306-019-00343-4</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0003-4002-7454</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0251-4184 |
| ispartof | Acta mathematica vietnamica, 2020-03, Vol.45 (1), p.53-69 |
| issn | 0251-4184 2315-4144 |
| language | eng |
| recordid | cdi_proquest_journals_2385944432 |
| source | Springer Nature |
| subjects | Geometry Homology Mathematics Mathematics and Statistics Metric space |
| title | Lp Metric Geometry of Big and Nef Cohomology Classes |
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