Borcherds lift shimura variety

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August undefined, 2024

WebOct 1, 2024 · For (p, q) = (2, 1), the orthogonal Shimura variety is again the modular curve, and one can obtain a generalization of the Shimura lift to include weakly holomorphic … WebWe are available Monday-Friday, 8:00 am – 5:00 pm by phone with lunch closure from 1-2 pm. If you have a medical need during business hours, please call the office at (970) 927 …

Shimura Lifts of Weakly Holomorphic Modular Forms

WebBefore purchasing your next lift or bender, consider the three important factors: Quality, Integrity and Service. We know we'll hear from you!. For more information about Worth contact us toll free at (800) 433-7016, local at (817) 473-7266 and fax at (817) 473-1599. WebShimura varieties of the Shimura varieties associated to quadratic forms of signature (2;n). These sub-Shimura varieties are important algebraic cycles in the Chow ring and often have important applications. For example, Heegner cycles have an important role in the theory of Borcherds lifts offline american football

Shimura Lifts of Weakly Holomorphic Modular Forms - ResearchGate

WebBorcherds’ singular theta lift (e.g. [3, 6]) and established a duality statement between these two lifts. Both of these lifts have played a signiﬁcant role in the study of certain cycles in locally symmetric spaces and Shimura varieties of orthogonal type. In this paper, we study the injectivity of the Kudla-Millson theta lift, and revisit Webf is called a \Borcherds product". Unlike other lifts in the theory of modular forms, this lift is multiplicative, in the sense that f+g= f g: The weight of f is c(0)=2, where c(0) is the … offline analysis

$arXiv:1710.00628v2 [math.NT] 21 Feb 2024$

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Webthe CM values of regularized theta lifts of harmonic Whittaker forms. We compute the archimedian part of the height pairing of arithmetic special divisors and CM cycles on Shimura varieties associated to quadratic spaces over an arbitrary totally real base ﬁeld. As a special case, we obtain an explicit formula for the norms of the CM values ... WebOct 9, 2012 · We also derive a formula for the values taken by the Borcherds products at cusps of the symmetric domain of the unitary group. Further, as an application of the lifting, we obtain a modularity result for a generating series with Heegner divisors as coefficients, along the lines of Borcherds’ generalization of the Gross-Zagier-Kohnen theorem. myersag.comWebintegral model of a Shimura variety associated to a unitary group of signature pn´1,1q, and prove their modularity. The main ingredient of the proof is the calculation of the vertical components appearing in the divisor of a Borcherds product on the integral model. Contents 1. Introduction 1 2. Unitary Shimura varieties 14 3. Toroidal ... myers agency huntsville al

"WebFinally, in Section 3.4 the singular theta-lift is used to de ne the multiplicative lifting: Borcherds products are explained as solutions of a multiplicative Cousin problem, namely of nding a meromorphic functions with divisor supported on the singularities of the singular theta-lift. We formulate a version of Borcherds’ theorem [4, Theorem " - Borcherds lift shimura variety

Borcherds lift shimura variety

MODULARITY OF GENERATING SERIES OF DIVISORS ON …

Web† The associated Shimura varieties † Special cycles † The special cases of signature (1,2), (2,2) 2. Theta liftings of holomorphic and weakly holomorphic modular forms † Siegel … WebOct 1, 2024 · We construct an arithmetic theta lift from harmonic Maass forms of weight 2-n to the first arithmetic Chow group of a toroidal compactification of the integral model of the unitary Shimura variety ...

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WebWeight-monodromy conjecture for some simple Shimura varieties. ... In this talk, we establish a duality result between the singular theta lift introduced by Borcherds and the Kudla-Millson theta lift. For O(p,2), this gives rise to the construction of Green functions for certain special cycles, while for arbitrary signature, one obtains ... WebTheta lift of Poincare series. We want to “theta lift” whmfs, and we saw it is su˝cient to ... The existence of Borcherds products plus cohomological interpretation implies that (Z;˝) = 1 4 @@log(Y2)[0] + 1 2 X ... sub-Shimura-variety corresponding to Sh U Sh?. If Uis positive or negative de˙nite, then we say the cycle is of de˙nite type.

WebBorcherds lift of [Br2] is reinterpreted as being applied to harmonic Hilbert Maass forms in our sense. Contents 1. Introduction 1 1.1. Related problems 2 ... ciple for coherent … WebAUTOMORPHIC FORMS ON SHIMURA VARIETIES ZHIYUAN LI LECTURES SCRIBED BY TONY FENG CONTENTS 1. Overview 3 1.1. Theta lifting 3 1.2. Applications in …

Webto de ne elements in the arithmetic Chow group associated to the underlying Shimura variety. For special (Heegner) divisors in Hermitian spaces to the orthogonal group O(p;2), Kudla [23,24] constructed Green functions in terms of the logarithmic integral. Later Bruinier and the rst named author of this paper employed Borcherds’ singular theta ... WebTheta lifts and currents on Shimura varieties Lecture 9 Speaker: Luis Garcia Notes by: Charlotte Chan March 25, 2016 This is a write-up of a very nice talk given by Luis …

WebBorcherds’ singular theta lift (e.g. [3, 6]) and established a duality statement between these two lifts. Both of these lifts have played a signi cant role in the study of certain cycles in locally symmetric spaces and Shimura varieties of orthogonal type. In this paper, we study the injectivity of the Kudla-Millson theta lift, and revisit

WebCM cycles on a Shimura variety and their ‘Faltings’ height 12.30 Lunch and free afternoon 2. Thursday 9:00–10:00 Fran¸cois Brunault (ENS Lyon) ... Richard Borcherds constructed a lift from vector valued weakly holomorphic elliptic mod-ular forms of weight 1 − n/2 to meromorphic modular forms for the discriminant kernel myers affordable plumbing richland moWebthat the number of portable, floor-based lifts will be reduced with the introduction of fixed lift systems, such as ceiling-mounted systems. Table J-1 can be used to determine the number of floor-based lifts—both full-body sling lifts and sit-to-stand lifts—needed for each clinical area/unit. Floor-based sling lift recommendations. offline and near area storageWeb3-Wheel Sit-Down Counterbalance Forklift. Series: SC 5700. Load Capacity: Up to 4000 lb. Lift Height: Up to 276 in. Explore Series. Request Quote. Compare. myers alburyWebOct 13, 2024 · Orthogonal Shimura varieties that arise from even lattices of signature (n, 2) carry a natural family of divisors that are called Heegner divisors, rational quadratic divisors, or special divisors in the literature.In his seminal paper [], Borcherds constructed meromorphic modular forms on these varieties, and then used them in the sequel [] to … myers air conditioning montgomery alWebShimura varieties, Borcherds products, arithmetic intersection theory. J.B. was supported in part by DFG grant BR-2163/4-2. B.H. was supported in part ... Armed with the construction of the arithmetic theta lift (1.1.3), we are now able to complete the program of [How12, How15, BHY15] to prove offline and free gamesWebNov 29, 2015 · Using the regularization of Borcherds' lift we extend the Shimura lift to take weakly holomorphic modular forms of half-integral weight to meromorphic modular forms of even integral weight having poles at CM points. Comments: 24 pages, exposition slightly modified after Equation (2), and a small typo corrected in the proof of the last … offline and onlineWebNov 20, 2024 · This paper shows that the coordinate maps given by N. Elkies for the Shimura curves associated to the quaternion algebras with discriminants 6 and 10 are Borcherds lifts of vector-valued modular forms. This property is then used to explicitly compute the rational norms of singular moduli on these curves. offline and online backup