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math.NT2004★ 3 cited
Cohomological arithmetic Chow rings
J. I. Burgos Gil, J. Kramer, U. Kuehn
We develop a theory of abstract arithmetic Chow rings where the role of the fibers at infinity is played by a complex of abelian groups that computes a suitable cohomology theory.…
math.NT2003★ 8 cited
Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
Jan H. Bruinier, Jose I. Burgos Gil, Ulf Kuehn
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…