{"title":"素数法诺，属12的三倍，具有$G_m$-动作","authors":"A. Kuznetsov, Yuri Prokhorov","doi":"10.46298/epiga.2018.volume2.4179","DOIUrl":null,"url":null,"abstract":"We give an explicit construction of prime Fano threefolds of genus 12 with a\n$G_m$-action, describe their isomorphism classes and automorphism groups.\n\n Comment: 14 pages, LaTeX, updated version, to appear in \\'Epijournal de\n G\\'eom\\'etrie Alg\\'ebrique, Vol. 2 (2018), Article Nr. 3","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2017-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Prime Fano threefolds of genus 12 with a $G_m$-action\",\"authors\":\"A. Kuznetsov, Yuri Prokhorov\",\"doi\":\"10.46298/epiga.2018.volume2.4179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an explicit construction of prime Fano threefolds of genus 12 with a\\n$G_m$-action, describe their isomorphism classes and automorphism groups.\\n\\n Comment: 14 pages, LaTeX, updated version, to appear in \\\\'Epijournal de\\n G\\\\'eom\\\\'etrie Alg\\\\'ebrique, Vol. 2 (2018), Article Nr. 3\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2017-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2018.volume2.4179\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2018.volume2.4179","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 11
摘要
给出了具有$G_m$-作用的素数Fano三重格12的显式构造，描述了它们的同构类和自同构群。评论:14页，LaTeX，更新版本，将出现在《Epijournal de G\' em \'etrie Alg\'ebrique》第2卷(2018)，第3期
Prime Fano threefolds of genus 12 with a $G_m$-action
We give an explicit construction of prime Fano threefolds of genus 12 with a
$G_m$-action, describe their isomorphism classes and automorphism groups.
Comment: 14 pages, LaTeX, updated version, to appear in \'Epijournal de
G\'eom\'etrie Alg\'ebrique, Vol. 2 (2018), Article Nr. 3
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