{"title":"hyperkahler品种的kahler锥体","authors":"Sébastien Boucksom","doi":"10.1016/S0764-4442(01)02158-9","DOIUrl":null,"url":null,"abstract":"<div><p>We answer a question of D. Huybrechts about the Kähler cone of a compact hyperkähler manifold. More precisely, we show how the methods he uses to describe the closure of this cone do in fact extend to get the following description: the Kähler cone of a hyperkähler manifold is the set of elements of the positive cone attached to the canonical quadratic form which are positive on the rational curves.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 10","pages":"Pages 935-938"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02158-9","citationCount":"31","resultStr":"{\"title\":\"Le cône kählérien d'une variété hyperkählérienne\",\"authors\":\"Sébastien Boucksom\",\"doi\":\"10.1016/S0764-4442(01)02158-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We answer a question of D. Huybrechts about the Kähler cone of a compact hyperkähler manifold. More precisely, we show how the methods he uses to describe the closure of this cone do in fact extend to get the following description: the Kähler cone of a hyperkähler manifold is the set of elements of the positive cone attached to the canonical quadratic form which are positive on the rational curves.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 10\",\"pages\":\"Pages 935-938\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02158-9\",\"citationCount\":\"31\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021589\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021589","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We answer a question of D. Huybrechts about the Kähler cone of a compact hyperkähler manifold. More precisely, we show how the methods he uses to describe the closure of this cone do in fact extend to get the following description: the Kähler cone of a hyperkähler manifold is the set of elements of the positive cone attached to the canonical quadratic form which are positive on the rational curves.
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