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On two geometric theta lifts

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 Web16 de out. de 2024 · The spectral decomposition with respect to Δ of the Hilbert space of square-integrable functions can be described via Maass forms. 3 Harmonic Maass Forms In their work On Two Geometric Theta Lifts [ 4] Bruinier and Funke came up with the following space of automorphic forms in a sense combining the notion of modular forms …

[math/0212286] On Two Geometric Theta Lifts - arXiv.org

WebTheta liftings of holomorphic and weakly holomorphic modular forms †Siegel theta functions †The theta lift †Weakly holomorphic modular forms and weak Maass forms †Regularized theta lifts 3. Borcherds products and automorphic Green functions †Borcherds products †Automorphic Green functions †Arithmetic Heegner divisors canon hf m51 https://comperiogroup.com

REGULARIZED THETA LIFTINGS AND PERIODS OF MODULAR …

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 ... WebOn two geometric theta lifts (joint with J. Bruinier), Duke Mathematical Journal 125 (2004), 45-90. Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms (joint with J. Millson), Manuscripta Mathematica 107 (2002), 409-449. WebON TWO GEOMETRIC THETA LIFTS 3 takes values in Zq(X). Then for η∈ Z(p−1)q c (X), the compactly supported closed (p−1)q-forms on X, the Kudla-Millson lift is defined by … flagship advertising

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Category:On two geometric theta lifts. - CORE

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On two geometric theta lifts

On two geometric theta lifts. - CORE

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) Web22 de jul. de 2016 · On two arithmetic theta lifts. Our aim is to clarify the relationship between Kudla’s and Bruinier’s Green functions attached to special cycles on Shimura …

On two geometric theta lifts

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WebOn two geometric theta lifts Duke Mathematical Journal Web20 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 …

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. 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.

http://export.arxiv.org/abs/math/0212286 WebBibTeX @MISC{Bruinier03ontwo, author = {Jan Hendrik Bruinier and Jens Funke}, title = {ON TWO GEOMETRIC THETA LIFTS}, year = {2003}}

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 …

Web30 de set. de 2004 · The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper we establish for the … flagship adjectiveWebBibTeX @MISC{Bruinier02ontwo, author = {Jan Hendrik Bruinier and Jens Funke}, title = {ON TWO GEOMETRIC THETA-LIFTS}, year = {2002}} flagship acceptance creditWebgeometric 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 canon hf r31Weba geometric de nition of the trace analogous to (1.5). In fact, the authors of [9] raise the questions whether their results can be approached using theta lifts as in [7] and whether one can give more insight to the mysterious nature of the square coe cients. In this paper, we indeed use the theta machinery to study the traces and periods of canon hfr21 動画取り込み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. canon hfm41 hd camcorderWeb20 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 … flagship addressWebON TWO GEOMETRIC THETA LIFTS 3 certain special cycles Z(f) in Dthat in this case are divisors. Moreover, B(z;f) := ddc( z;f) actually extends to a closed smooth (1;1)-form on … flagship agencia