Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

Bruinier, Jan H. (Jan Hendrik); Burgos Gil, José I.; Kühn, Ulf

Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/9171

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DC Field	Value	Language
dc.contributor.author	Bruinier, Jan H. (Jan Hendrik), 1971-	cat
dc.contributor.author	Burgos Gil, José I.	cat
dc.contributor.author	Kühn, Ulf	cat
dc.date.accessioned	2009-08-19T11:04:50Z	-
dc.date.available	2009-08-19T11:04:50Z	-
dc.date.issued	2007	cat
dc.identifier.issn	0012-7094	cat
dc.identifier.uri	http://hdl.handle.net/2445/9171	-
dc.description.abstract	We 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 2. Moreover, we determine the arithmetic selfintersection number of the line bundle of modular forms equipped with its Petersson metric on a regular model of a Hilbert modular surface, and we study Faltings heights of arithmetic Hirzebruch-Zagier divisors.	eng
dc.format.extent	88 p.	cat
dc.format.mimetype	application/pdf	eng
dc.language.iso	eng	eng
dc.publisher	Duke University Press	cat
dc.relation.isformatof	Reproducció del document publicat a http://dx.doi.org/10.1215/S0012-7094-07-13911-5	cat
dc.relation.ispartof	Duke Mathematical Journal, 2007, vol. 139, núm. 1, p. 1-88.	cat
dc.relation.uri	http://dx.doi.org/10.1215/S0012-7094-07-13911-5	-
dc.rights	(c) Duke University Press, 2007	cat
dc.source	Articles publicats en revistes (Matemàtiques i Informàtica)	-
dc.subject.classification	Geometria algebraica aritmètica	cat
dc.subject.classification	Teoria de la intersecció	cat
dc.subject.other	Arithmetic aspects of modular and Shimura varieties	eng
dc.subject.other	Hilbert modular surfaces	eng
dc.subject.other	Intersection theory	eng
dc.subject.other	Arithmetic varieties and schemes	eng
dc.title	Borcherds products and arithmetic intersection theory on Hilbert modular surfaces	eng
dc.type	info:eu-repo/semantics/article	cat
dc.type	info:eu-repo/semantics/publishedVersion	-
dc.identifier.idgrec	555914	ca
dc.rights.accessRights	info:eu-repo/semantics/openAccess	-
Appears in Collections:	Articles publicats en revistes (Matemàtiques i Informàtica)

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