Hilbert modular

WebFoliations of Hilbert modular surfaces Curtis T. McMullen∗ 21 February, 2005 Abstract The Hilbert modular surface XD is the moduli space of Abelian varieties A with real multiplication by a quadratic order of discriminant D > 1. The locus where A is a product of elliptic curves determines a finite union of algebraic curves XD(1) ⊂ XD. WebHilbert modular variety (cf. [RT11, Section 3.1.9]). When F =Qand w=2−k we recover the usual notion of an elliptic modular form of weight k. If p is a prime number, then (by Eichler, Shimura, Deligne, Wiles, Tay-lor, Blasius-Rogawski) …

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WebOct 8, 2024 · Let f be a primitive Hilbert modular cusp form of arbitrary level and parallel weight k, defined over a totally real number field F. We define a finite set of primes S{\mathcal{S}} that depends on ... WebSTRATIFICATIONS OF HILBERT MODULAR VARIETIES E. Z. GOREN AND F. OORT Abstract. We consider g-dimensional abelian varieties in characteristic p, with a given action of O L- the ring of integers of a totally real eld Lof degree g. A strati cation of the associated moduli spaces is de ned by considering the action of O how many more days till april 5 2023 https://edgeimagingphoto.com

Arithmetic of the Asai L-function for Hilbert modular forms

WebOct 14, 2003 · Borcherds products and arithmetic intersection theory on Hilbert modular surfaces. We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying … Webthe modular curve into the Hilbert modular sur-face. We have SL2(Z) ,→ SL2(O F) and h,→ h × h giving rise to SL2(Z)\h,→ SL2(O F)\(h × h). More generally, we can work with a congruence subgroup. The projection of these cycles to each π component produces a Tate class in each IH2(π) for which πis a lift. Embedding the modular curve ... WebMotivated by the above discussion, for the rest of the introduction, we use the symbol fto denote a Hilbert modular form (for F) of weight (k;2), and discuss in turn the two periods that one can attach to such an fthat capture the transcendental 6 part of critical values of the Asai L-function of f. how many more days till august 15

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Hilbert modular

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WebModular Homes. Modular homes are built in only half the time it takes to build a conventional custom home. Our legendary craftsmanship combined with our use of the … WebFeb 2, 2016 · The main result expresses the values of Hilbert modular forms at twisted CM 0-cycles in terms of these Fourier coefficients. This is a twisted version of the main theorem in Bruinier and Yang [ CM-values of Hilbert modular functions, Invent.

Hilbert modular

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Web1 Hilbert modular surfaces In this section we give a brief introduction to Hilbert modular surfaces associated to real quadratic fields. For details we refer to [Fr], [Ga], [Ge1], [Go]. … WebOver the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is on the geometry of Hilbert modular …

WebHILBERT'S MODULAR GROUP OF THE FIELD Q (√5) AND THE CUBIC DIAGONAL SURFACE OF CLEBSCH AND KLEIN F. Hirzebruch Published 1 October 1976 Mathematics Russian Mathematical Surveys View via Publisher Save to Library Create Alert Cite 28 Citations Citation Type More Filters Hilbert Modular Forms E. Freitag Mathematics 1990 WebRemark 11. As the name suggests, Hilbert modular forms are connected to Hilbert modular sur-faces. Analogously to the case of modular curves, Hilbert modular forms are related to di erential forms on the Hilbert modular surface. The only complications arise from being careful about the behavior at the singularities [10, I.6, III.3].

WebDOI: 10.5802/AIF.1569 Corpus ID: 55489674 $p$-adic interpolation of convolutions of Hilbert modular forms @article{Dnger1997padicIO, title={\$p\$-adic interpolation ... WebHilbert modular forms and varieties Applications of Hilbert modular forms The Serre conjecture for Hilbert modular forms The next three lectures: goal Classical Hilbert …

WebNov 20, 2024 · In this article we refine the method of Bertolini and Darmon $\left[ \text{BD}1 \right],\,\left[ \text{BD2} \right]$ and prove several finiteness results for anticyclotomic Selmer groups of Hilbert modular forms of parallel weight two.

WebModular forms are functions with loads of symmetry, and this symmetry causes things like spaces of modular forms to have nite dimensionality and nice congruences and … how behavior is learned and changedWebThe moduli spaces of such abelian surfaces are Hilbert modular surfaces. Since the moduli spaces of polarized complex abelian varieties are Siegel modular varieties we find natural maps of Hilbert modular surfaces to Siegel modular threefolds. how behaviors are formedWebA Hilbert modular variety Σ = Hg/Γ is a quotient of Hg by a lattice Γ ⊂ SL2(K). A typical example is provided by Γ = SL2(OK), where OK is the ring of integers in K. These varieties arise naturally in connection with real multiplication, as follows. how behavior can affect communicationWebJul 20, 2024 · It doesn't preserve holomorphicity, but it sends holomorphic Hilbert modular forms to "nearly-holomorphic" forms in Shimura's sense. For n = 1 something special happens, which is that the nearly-holomorphic forms are freely generated by E 2 as a polynomial ring over the holomorphic ones. how behaviorism is used todayWebOct 14, 2003 · Borcherds products and arithmetic intersection theory on Hilbert modular surfaces Jan H. Bruinier, Jose I. Burgos Gil, Ulf Kuehn We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular form of weight two. how behavior drives performanceWebHilbert Technologies is a quantitative investment management company trading in various financial markets. Our investment strategies are created through rigorous research based … how behavior spreadsWebJan 1, 2009 · Using a p-adic analogue of the convolution method of Rankin–Selberg and Shimura, we construct the two-variable p-adic L-function of a Hida family of Hilbert … how behaviorism came to be