Integrals of automorphic Green's functions associated to Heegner divisors

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dc.creatorBruinier, Jan Hendrik
dc.creatorKuehn, Ulf
dc.date2002-04-09
dc.date2002-12-12
dc.date.accessioned2026-07-07T04:47:31Z
dc.date.available2026-07-07T04:47:31Z
dc.descriptionIn the present paper we find explicit formulas for the degrees of Heegner divisors on arithmetic quotients of the orthogonal group $\Orth(2,p)$ and for the integrals of certain automorphic Green's functions associated with Heegner divisors. The latter quantities are important in the study of the arithmetic degrees of Heegner divisors in the context of Arakelov geometry. In particular, we obtain a different proof and a generalization of results of Kudla relating these quantities to the Fourier coefficients of certain non-holomorphic Eisenstein series of weight $1+p/2$ for the metaplectic group $\Mp_2(\Z)$.
dc.description36 pages, references updated, proofs of Theorem 4.7 and Proposition 4.8 improved
dc.identifierhttps://arxiv.org/abs/math/0204100
dc.identifierhttp://arxiv.org/abs/math/0204100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63747
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11F55; 11G18
dc.titleIntegrals of automorphic Green's functions associated to Heegner divisors
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