| 书目名称 | Intersections of Hirzebruch–Zagier Divisors and CM Cycles |
| 编辑 | Benjamin Howard,Tonghai Yang |
| 视频video | |
| 概述 | Develops new methods in explicit arithmetic intersection theory.Develops new techniques for the study of Shimura varieties and automorphic forms, central objects in modern number theory.Proves new cas |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. |
| 出版日期 | Book 2012 |
| 关键词 | 11-XX; Arakelov geometry; Hilbert modular surfaces; arithmetic intersection theory; automorphic forms |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-23979-3 |
| isbn_softcover | 978-3-642-23978-6 |
| isbn_ebook | 978-3-642-23979-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 19:07:41
