Selected Publications and Preprints.

Kühn, Ulf: Generalized arithmetic intersection numbers.
C. R. Acad. Sci., Paris, Ser. I, No.3, 283-288 (1998). craskuehn.ps

Kühn, Ulfhart: Über die arithmetischen Selbstschnittzahlen zu Modulkurven und
Hilbertschen Modulflächen, Dissertation Humboldt Universität zu Berlin (1999). disskuehn.ps,

Kühn, Ulf: Generalized arithmetic intersection numbers.
J. reine angew Math. 534, 209-236 (2001). crellekuehn.ps

Dettweiler, Michael; Kühn, Ulf; Reiter, Stefan: On Galois
Realizations via Siegel Modular Forms. Math. Res. Lett. 8.4. 577-588, (2001) siegelmodular-DKR.ps

Bruinier, Jan; Kühn, Ulf: Integrals of automorphic Green's functions
associated to Heegner divisors. IMRN 31, 1687-1729 (2003) http://www.arxiv.org/abs/math.NT/0204100

Kühn, Ulf: Arithmetic intersection theory on compactified Shimura varieties.
Mathematisches Institut, Seminars 2003/04 (Y. Tschinkel, ed.),
Universitätsverlag Göttingen, (2004) kuehn-goettingen.pdf

Kühn, Ulf: On the height conjecture for algebraic points on curves defined over number fields.
In: Number Fields and Function Fields - Two Parallel Worlds (ed. G. v.d. Geer, B. Moonen, R. Schoof).
Progress in math. 239, (2005). kuehn-heights.pdf

Kühn, Ulf: Neron-Tate heights on algebraic curves and subgroups of
the modular group. Manuscripta Math. 116 (2005), no. 4, 401--419. NTHMrev.pdf

Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf: Arithmetic characteristic classes of automorphic vector bundles.
Documenta Math., Vol. 10 (2005), 619-716. http://www.mathematik.uni-bielefeld.de/documenta/vol-10/19.html

Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf: Cohomological Arithmetic Chow groups.
J. Inst. Math. Jussieu. 6 No.1, 1-178 (2007) http://www.arxiv.org/abs/math.AG/0404122

Bruinier, Jan; Burgos, Jose I.; Kühn, Ulf: Borcherds products and arithmetic intersection
theory on Hilbert modular surface. Duke Math. J. Volume 139, Number 1 (2007), 1-88.
http://www.arxiv.org/abs/math.NT/0310201, rev. version 10/2005

Busch, Vincenz; Kühn, Ulf; Posingies Anna: On scattering constants for a non-congruence subgroup.
http://de.arxiv.org/abs/0906.1466

Kühn, Ulf: On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces.
http://de.arxiv.org/abs/0906.2056

Curilla, Christian; Kühn, Ulf: On the arithmetic self-intersection numbers of the dualizing sheaf for Fermat curves of prime exponent
http://de.arxiv.org/abs/0906.3891

Kühn Ulf; Müller Jan Steffen: Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces
http://xxx.uni-augsburg.de/abs/1205.3274

Berndt, Rolf; Kühn, Ulf: On Kudla's Green function, part I.
http://xxx.uni-augsburg.de/abs/1205.6417

Berndt, Rolf; Kühn, Ulf: On Kudla's Green function, part II.
http://xxx.uni-augsburg.de/abs/1209.3949

Kühn Ulf; Müller Jan Steffen: A height inequality for rational points on elliptic curves implied by the abc-conjecture.
http://xxx.uni-augsburg.de/abs/1210.6543