Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

DOI10.1215/S0012-7094-07-13911-5zbMath1208.11077arXivmath/0310201MaRDI QIDQ2642228

José Ignacio Burgos Gil, Ulf Kühn, Jan Hendrik Bruinier

Publication date: 20 August 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310201

zbMATH Keywords

Borcherds productsHilbert modular surfacesself-intersection numbersarithmetic Hirzebruch-Zagier divisorsFaltings heights

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic aspects of modular and Shimura varieties (11G18) Divisors, linear systems, invertible sheaves (14C20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Cites Work

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