Webgeometric applications to integral models of U(n;1) Shimura varieties. Each family of Green functions gives rise to a formal arithmetic theta function, valued in an arithmetic Chow group, that is conjectured to be modular; our main result is the modularity of the di erence of the two arithmetic theta functions. Finally, we relate the arithmetic WebOn two arithmetic theta lifts Part of: Arithmetic algebraic geometry Discontinuous groups and automorphic forms Published online by Cambridge University Press: 07 September …

On two arithmetic theta lifts

Web30 de set. de 2004 · On two geometric theta lifts. Authors. J. Bruinier; J. Funke; Publication date October 1, 2004. Publisher 'Duke University Press' Doi DOI: 10.1215/S0012-7094-04-12513-8. Abstract The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. Web20 de dez. de 2002 · Title: On Two Geometric Theta Lifts. Authors: Jan Hendrik Bruinier, Jens Funke (Submitted on 20 Dec 2002 , last revised 14 Mar 2003 (this version, v4)) Abstract: The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. how to change marker shape in excel

The f(q) mock theta function conjecture and partition ranks ...

WebON TWO ARITHMETIC THETA LIFTS STEPHAN EHLEN AND SIDDARTH SANKARAN Abstract. Our aim is to clarify the relationship between Kudla’s and Bruinier’s Green func-tions attached to special cycles on Shimura varieties of orthogonal and unitary type, which play a key role in the arithmetic geometry of these cycles in the context of Kudla’s program. WebON TWO GEOMETRIC THETA LIFTS 3 from H+ k to the space of closed 2-forms on X. For f∈ M! k one has Λ B(f) = a+(0)Ω, where a+(0) is the constant coefficient of f, and Ω is the … WebThe results of this paper are subject to several extensions and generalizations. On one hand, one should be able to introduce suitable Borcherds lifts for unitary groups, since [K michael l bobo dds md psc