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＜電子ブック＞
Intersections of Hirzebruch–Zagier Divisors and CM Cycles / by Benjamin Howard, Tonghai Yang
(Lecture Notes in Mathematics. ISSN:16179692 ; 2041)

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	VIII, 140 p : online resource
著者標目	*Howard, Benjamin author Yang, Tonghai author SpringerLink (Online service)
件　名	LCSH:Number theory FREE:Number Theory
一般注記	1. Introduction -- 2. Linear Algebra -- 3. Moduli Spaces of Abelian Surfaces -- 4. Eisenstein Series -- 5. The Main Results -- 6. Local Calculations 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 HTTP:URL=https://doi.org/10.1007/978-3-642-23979-3

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