# name
Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Duke Mathematical Journal, 2007, vol. 139, núm. 1, p. 1-88.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.other[].value
Arithmetic aspects of modular and Shimura varieties

# metadata.dc.title[].value
Borcherds products and arithmetic intersection theory on Hilbert modular surfaces