A note on flatness of some fiber type contractions
We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of th...
Gespeichert in:
Veröffentlicht in: | Proceedings of the Japan Academy. Series A. Mathematical sciences 2019-11, Vol.95 (9), p.103-106 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 106 |
---|---|
container_issue | 9 |
container_start_page | 103 |
container_title | Proceedings of the Japan Academy. Series A. Mathematical sciences |
container_volume | 95 |
creator | Romano, Eleonora Anna |
description | We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted. |
doi_str_mv | 10.3792/pjaa.95.103 |
format | Article |
fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2314195726</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A609344585</galeid><sourcerecordid>A609344585</sourcerecordid><originalsourceid>FETCH-LOGICAL-c365t-a03168c8b15e38a7809c20c1674709000c3f9fe4f3c160b4823d7ba027fada3</originalsourceid><addsrcrecordid>eNptUMtqwzAQ1KGFpo9Tf0DQY7G70sqWdQyhLwj00N6FrEjFIbZcSTnk76uQQimUPSwzzOxjCLllUKNU_GHeGlOrpmaAZ2QB2LUVZ0pckMuUtlAwSLUgfEmnkB0NE_U7kyeXEg2epjA66ofeRZoPs6M2TDkam4cwpWty7s0uuZuffkXenx4_Vi_V-u35dbVcVxbbJlcGkLWd7XrWOOyM7EBZDpa1UkhQAGDRK--Ex8JBLzqOG9kb4NKbjcErcneaOsfwtXcp623Yx6ks1ByZYKqRvP1VfZqd08Pkw_HMcUhWL1tQKETTNUVV_6MqtXHjUF5zfij8H8P9yWBjSCk6r-c4jCYeNAN9TFcf09WqKRjxG21ibC8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2314195726</pqid></control><display><type>article</type><title>A note on flatness of some fiber type contractions</title><source>Project Euclid Open Access</source><source>Open Access Titles of Japan</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Project Euclid Complete</source><creator>Romano, Eleonora Anna</creator><creatorcontrib>Romano, Eleonora Anna</creatorcontrib><description>We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted.</description><identifier>ISSN: 0386-2194</identifier><identifier>DOI: 10.3792/pjaa.95.103</identifier><language>eng</language><publisher>Ueno Park: The Japan Academy</publisher><subject>Flatness ; Singularity (mathematics)</subject><ispartof>Proceedings of the Japan Academy. Series A. Mathematical sciences, 2019-11, Vol.95 (9), p.103-106</ispartof><rights>COPYRIGHT 2019 The Japan Academy</rights><rights>Copyright The Japan Academy Nov 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c365t-a03168c8b15e38a7809c20c1674709000c3f9fe4f3c160b4823d7ba027fada3</citedby><cites>FETCH-LOGICAL-c365t-a03168c8b15e38a7809c20c1674709000c3f9fe4f3c160b4823d7ba027fada3</cites></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>Romano, Eleonora Anna</creatorcontrib><title>A note on flatness of some fiber type contractions</title><title>Proceedings of the Japan Academy. Series A. Mathematical sciences</title><description>We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted.</description><subject>Flatness</subject><subject>Singularity (mathematics)</subject><issn>0386-2194</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNptUMtqwzAQ1KGFpo9Tf0DQY7G70sqWdQyhLwj00N6FrEjFIbZcSTnk76uQQimUPSwzzOxjCLllUKNU_GHeGlOrpmaAZ2QB2LUVZ0pckMuUtlAwSLUgfEmnkB0NE_U7kyeXEg2epjA66ofeRZoPs6M2TDkam4cwpWty7s0uuZuffkXenx4_Vi_V-u35dbVcVxbbJlcGkLWd7XrWOOyM7EBZDpa1UkhQAGDRK--Ex8JBLzqOG9kb4NKbjcErcneaOsfwtXcp623Yx6ks1ByZYKqRvP1VfZqd08Pkw_HMcUhWL1tQKETTNUVV_6MqtXHjUF5zfij8H8P9yWBjSCk6r-c4jCYeNAN9TFcf09WqKRjxG21ibC8</recordid><startdate>20191101</startdate><enddate>20191101</enddate><creator>Romano, Eleonora Anna</creator><general>The Japan Academy</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BVBZV</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2O</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20191101</creationdate><title>A note on flatness of some fiber type contractions</title><author>Romano, Eleonora Anna</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c365t-a03168c8b15e38a7809c20c1674709000c3f9fe4f3c160b4823d7ba027fada3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Flatness</topic><topic>Singularity (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Romano, Eleonora Anna</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>East & South Asia Database</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Research Library</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Proceedings of the Japan Academy. Series A. Mathematical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Romano, Eleonora Anna</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A note on flatness of some fiber type contractions</atitle><jtitle>Proceedings of the Japan Academy. Series A. Mathematical sciences</jtitle><date>2019-11-01</date><risdate>2019</risdate><volume>95</volume><issue>9</issue><spage>103</spage><epage>106</epage><pages>103-106</pages><issn>0386-2194</issn><abstract>We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted.</abstract><cop>Ueno Park</cop><pub>The Japan Academy</pub><doi>10.3792/pjaa.95.103</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0386-2194 |
ispartof | Proceedings of the Japan Academy. Series A. Mathematical sciences, 2019-11, Vol.95 (9), p.103-106 |
issn | 0386-2194 |
language | eng |
recordid | cdi_proquest_journals_2314195726 |
source | Project Euclid Open Access; Open Access Titles of Japan; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete |
subjects | Flatness Singularity (mathematics) |
title | A note on flatness of some fiber type contractions |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T09%3A22%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20note%20on%20flatness%20of%20some%20fiber%20type%20contractions&rft.jtitle=Proceedings%20of%20the%20Japan%20Academy.%20Series%20A.%20Mathematical%20sciences&rft.au=Romano,%20Eleonora%20Anna&rft.date=2019-11-01&rft.volume=95&rft.issue=9&rft.spage=103&rft.epage=106&rft.pages=103-106&rft.issn=0386-2194&rft_id=info:doi/10.3792/pjaa.95.103&rft_dat=%3Cgale_proqu%3EA609344585%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2314195726&rft_id=info:pmid/&rft_galeid=A609344585&rfr_iscdi=true |