On two geometric theta lifts
WebOn two geometric theta lifts (joint with J. Bruinier), Duke Math. J. 125, 45-90 (2004) Cycles in hyperbolic manifolds of non-compact type and Fourier coe cients of Siegel modular forms (joint with J. Millson), Manuscripta Math. 107, 409-449 (2002) Heegner divisors and non-holomorphic modular forms, Compositio Math. 133, 289-321 (2002) 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
On two geometric theta lifts
Did you know?
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 Web24 de jul. de 2012 · On two geometric theta lifts. Duke Math. J. 125, 45–90 (2004) Article MathSciNet MATH Google Scholar Bruinier, J.H., Ono, K., Rhoades, R.C.: Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Math. Ann. 342 (3), 673–693 (2008) Article MathSciNet MATH Google Scholar Duke, W., …
WebOn two geometric theta lifts. Duke Mathematical Journal 125 (1): 45-90. Funke, J. (2002). Heegner divisors and non-holomorphic modular forms. Compositio Mathematica 133 (3): 289-321. Funke, J. & Millson, J. (2002). Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms. 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. JAN HENDRIK BRUINIER and JENS FUNKE Abstract The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of or Web1 de out. de 2014 · By defining a theta lift using a kernel recently studied by Hövel, we obtain canonical weight 1/2 harmonic Maass forms whose Fourier coefficients encode the vanishing of these values for the ...
Web2 de abr. de 2024 · While modern two-photon photopolymerisation (TPP) techniques allow us to create complex 3D architectures, ... of TPP to fabricate 3D structures in which individual bacteria can self-locate within micro-chambers arranged in geometric arrays. [16, 17] Once assembled, ... (\theta ) \approx \; - \omega _0^\prime \theta $ and v ...
Web17 de mai. de 2024 · We also consider arithmetic-geometric 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 difference of the two arithmetic theta functions. phil\u0027s fish house castrovilleWebThe theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper, we establish for O ... On Two … phil\u0027s fish house michiganWeb30 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. tshutsha clan namesWeb20 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. tsh us eleveWeb21 de jul. de 2016 · On two arithmetic theta lifts. July 2016; Compositio Mathematica 154(10) DOI:10.1112 ... These functions play a key role in the arithmetic geometry of the special cycles in the context of Kudla's ... tshutshutshu secondary schoolWeb1 de out. de 2004 · Abstract. The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper we establish … t shut offWeb20 de dez. de 2002 · Abstract: The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper, we … phil\u0027s fish and chips quebec