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The Main Results

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2041)

Abstract

This chapter contains our main results. In Sect. 5.1 we relate the 0-dimension stack \( {CM_\Sigma}(\alpha)\,{\rm to \,the}\,{\alpha^{th}} \)-Fourier coefficient of the central derivative of an incoherent 4 Hilbert modular Eisenstein series. Here \( {\alpha} \) is a totally positive element of F#. The 5 proof of this result is contained in Sect. 5.2, with the exception of certain local 6 calculations (which are, in fact, the technical core of the proof) postponed until 7 Chap. 6.

Keywords

  • Green Function
  • Eisenstein Series
  • Abelian Surface
  • Quadratic Space
  • Orthogonal Idempotent

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Correspondence to Benjamin Howard .

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© 2012 Springer-Verlag Berlin Heidelberg

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Howard, B., Yang, T. (2012). The Main Results. In: Intersections of Hirzebruch–Zagier Divisors and CM Cycles. Lecture Notes in Mathematics(), vol 2041. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23979-3_5

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