{"title":"关于一些紧致辛解流形的注记","authors":"Qiang Tan, Adriano Tomassini","doi":"10.1007/s10114-023-0416-7","DOIUrl":null,"url":null,"abstract":"<div><p>We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients <i>M</i> = Γ<i>G</i> of a simply-connected solvable Lie group <i>G</i> by a lattice Γ, admitting a symplectic structure.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"39 10","pages":"1874 - 1886"},"PeriodicalIF":0.8000,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Remarks on Some Compact Symplectic Solvmanifolds\",\"authors\":\"Qiang Tan, Adriano Tomassini\",\"doi\":\"10.1007/s10114-023-0416-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients <i>M</i> = Γ<i>G</i> of a simply-connected solvable Lie group <i>G</i> by a lattice Γ, admitting a symplectic structure.</p></div>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":\"39 10\",\"pages\":\"1874 - 1886\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Sinica-English Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-023-0416-7\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Sinica-English Series","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-023-0416-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients M = ΓG of a simply-connected solvable Lie group G by a lattice Γ, admitting a symplectic structure.
期刊介绍:
Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.