https://scholars.lib.ntu.edu.tw/handle/123456789/634462
標題: | Quadratic relations between periods of connections | 作者: | Javier Fresán Claude Sabbah JENG-DAW YU |
關鍵字: | good meromorphic flat bundle | moderate homology and cohomology | Period pairing | Poincaré-Verdier duality | quadratic relation | rapid-decay homology and cohomology | real blow-up; Mathematics - Algebraic Geometry; Mathematics - Algebraic Geometry; 32G20, 34M35 | 公開日期: | 23-五月-2020 | 卷: | 75 | 期: | 2 | 來源出版物: | Tohoku Math. J. 75 (2023), 175-213 | 摘要: | We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of "goodness". In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we give details on the classical results needed for the proofs. V3: Revised version, various proofs simplified in Section 3, exposition improved. |
描述: | 46 pages, 2 figures. V2: A reference updated. V3: 47 pages, 1 figure. V4: final published version |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/634462 | ISSN: | 00408735 | DOI: | 10.2748/tmj.20211209 |
顯示於: | 數學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。