Arithmetische algebraische Geometrie

Im Vordergrund der Untersuchungen standen motivische und dynamische Kohomologien, die Theorie der Motive und ihre Deligne-Perioden. Außerdem Polylogarithmusgarben auf Shimura-Varietäten, die elliptische Zagier-Vermutung, die Bloch-Kato-Vermutungen für die Riemannsche Zetafunktion sowie die Theorie der Höhenpaarungen.

Drittmittelgeber:

Europäische Union

Beteiligte Wissenschaftler:

Prof. Dr. C. Deninger, Dr. A. Huber, Dr. G. Kings, Dr. A. Werner, Priv. Doz. Dr. J. Wildeshaus

Veröffentlichungen:

Deninger, C.: Motivic L-functions and regularized determinants II. In: F. Catanese (ed.), Arithmetic Geometry, Cortona, 1994, Symp. Math. 37, 138-156, Cambridge Univ. Press 1997

Deninger, C.: Extensions of mixed motives associated to symmetric powers of elliptic curves and to Hecke characters of imaginary quadratic fields. In: F. Catanese (ed.), Arithmetic Geometry, Cortona, 1994, Symp. Math. 37, 138-156, Cambridge Univ. Press 1997

Deninger, C.: On extensions of mixed motives. Journées Arithmetiques, Barcelona 1995. Collectanea Mathematica

Deninger, C.: Deligne periods of mixed motives, K-theory and the entropy of certain Zⁿ-actions. Journal of the AMS 10 (2), 259-281 (1997)

Deninger, C.: On Dynamical systems and their Possible Significance for Arithmetic Geometry. To appear in a conference proceedings on regulators

Deninger, C.: Some analogies between number theory and dynamical systems on foliated spaces. Doc. Math. J. DMV. Extra Volume I (1998), 23-46

Huber, A.: Extensions of motives. Proc. ECM Budapest 1996, Progr. in Math. 168, 219-236, Birkhäuser 1998

Huber, A.: Mixed perverse sheaves for schemes over number fields. Comp. Math. 108 (1997), 107-221

Huber, A., J. Wildeshaus: Classical motivic polylogarithm according to Beilinson and Deligne. Doc. Math. J. DMV 3 (1998), 27-133

Huber, A., G. Kings: Dirichlet motives via modular curves. Erscheint in Annales Sc. Ec. Norm. Sup.

Huber, A, G. Kings: Degeneration of l-adic Eisenstein classes and of the elliptic polylog. Erscheint in Invent. Math.

Kings, G.: Extensions of motives of modular forms. Math. Ann. 309 (1997), 375-399

Kings, G.: Higher regulators, Hilbert modular surfaces and special values of L-functions. Duke Math. J. 92 (1), 1998, 61-127

Kings, G.: Extensions of motives associated to K-theory elements for Hilbert modular forms. J. reine angew. Math. 503 (1998), 109-128

Werner, A.: Local heights on Abelian varieties with split multiplicative reduction. Comp. Math. 107 (1997), 289-317

Werner, A.: Local heights on abelian varieties and rigid analytic uniformazation. Doc. Math. J. DMV 3 (1998), 301-319

Wildeshaus, J.: On an elliptic analogue of Zagier's conjecture. Duke Math. J. 87 (1997), 355-407

Wildeshaus, J.: On derived functors on categories without enough injection. Erscheint in Jour. of Pure and Appl. Algebra