Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

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dc.creatorBruinier, Jan H.
dc.creatorGil, Jose I. Burgos
dc.creatorKuehn, Ulf
dc.date2003-10-14
dc.date2004-09-28
dc.date.accessioned2026-07-07T05:01:53Z
dc.date.available2026-07-07T05:01:53Z
dc.descriptionWe prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular form of weight two. Moreover, we determine the arithmetic self-intersection number of the line bundle of modular forms equipped with its Petersson metric on a regular model of a Hilbert modular surface, and study Faltings heights of arithmetic Hirzebruch-Zagier divisors.
dc.description71 pages, Theorems 6.7 and 6.8 added, references updated, some typos removed
dc.identifierhttps://arxiv.org/abs/math/0310201
dc.identifierhttp://arxiv.org/abs/math/0310201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68845
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11F41, 14C17, 14G40, 14C20, 11G18
dc.titleBorcherds products and arithmetic intersection theory on Hilbert modular surfaces
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