Selected Publications and Preprints.
Burgos Gil Jose I.; Fresan Javier; Kühn Ulf: Classical theory of multiple zeta values.
to appear in "Multiple zeta values:
from numbers to motives", Clay Mathematics Proceedings by
J.I. Burgos Gil and J. Fresan.
MZV book
Bachmann Henrik; Kühn Ulf:
A dimension conjecture for q-analogues of multiple zeta values.
"Periods in Quantum Field Theory and Arithmetic" ed. by J. Burgos, Springer PROMS vol.314 (2020)
http://arxiv.org/abs/1708.07464
Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf:
The singularities of the invariant metric on the line bundle of Jacobi forms.
in "Recent Advances in Hodge Theory (2)", ed. by Matt Kerr and Gregory Pearlstein, Cambridge Univ. Press. (2016)
http://arxiv.org/abs/1405.3075
Bachmann Henrik; Kühn Ulf:
The algebra of generating functions for multiple divisor sums and applications to multiple zeta values.
Ramanujan J. 40 (2016), no. 3,
http://arxiv.org/abs/1309.3920
Kühn Ulf; Müller Jan Steffen: A height inequality for rational points on elliptic curves implied by the abc-conjecture.
Functiones et Approximatio Commentarii Mathematici 52 (1), 127-132, http://arxiv.org/abs/1210.6543
Kühn Ulf; Müller Jan Steffen: Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces.
Trans. Amer. Math. Soc. 369 (2017)
http://arxiv.org/abs/1205.3274.
Curilla, Christian; Kühn, Ulf: On the arithmetic self-intersection numbers of the dualizing sheaf for Fermat curves of prime exponent.
http://arxiv.org/abs/0906.3891
Kühn, Ulf: Neron-Tate heights on algebraic curves and subgroups of
the modular group.
Manuscripta Math. 116 (2005), no. 4, 401--419.
NTHMrev.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: Arithmetic intersection theory on compactified Shimura varieties.
Mathematisches Institut, Seminars 2003/04 (Y. Tschinkel, ed.),
Universitätsverlag Göttingen, (2004)
kuehn-goettingen.pdf
Dettweiler, Michael; Kühn, Ulf; Reiter, Stefan: On Galois
Realizations via Siegel Modular Forms.
Math. Res. Lett. 8.4. 577-588, (2001)
siegelmodular-DKR.ps
Kühn, Ulf: Generalized arithmetic intersection numbers.
J. reine angew Math. 534, 209-236 (2001).
crellekuehn.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.
C. R. Acad. Sci., Paris, Ser. I, No.3, 283-288 (1998).
craskuehn.ps
Comments, Comments, Suggestions, Problems,etc.?
Please mail: kuehn(at)math(dot)uni(minus)hamburg(dot)de