Hilbert modular surface

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August undefined, 2024

WebNov 15, 2024 · We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular … WebDec 23, 2024 · In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is one of the surfaces obtained by taking a quotient of a product of two copies of the upper …

TATE CONJECTURES FOR HILBERT MODULAR SURFACES V.

WebThe Hilbert Modular Group for the Field Q(I/13) 99 On the other hand, the Chern class c 1 of Y can be represented by a differential form 71 +72, where Y2 represents in HZ(Y) the Poincar6 dual of the homology class of the cusp resolutions, and where 71 has support disjoint from the cusp resolutions and satisfies … WebHilbert modular surfaces An example: Y−(17). Applications Method/proof 2/31 Ellipticcurves An elliptic curve over Cis the set of solutions to an equation y2= x3+Ax+B with A,B∈ Cwith … orange county pot shop open 24 hours

The integral representation of automorphic Green’s ... - Springer

WebSep 13, 2024 · SP-XX WALL, PRECAST MODULAR BLOCK RETAININGVersion Date: 9/13/2024Revision Date: XX/XX/XXXX by XXX. DESCRIPTION. The work covered by this … Websurface X, which is always supposed to be connected. Such a divisor is a finite sum ~ n i Ci, n~eZ, where C~ is an irreducible algebraic curve on X. The divisor is called non-negative if all n i are non-negative, and it is called positive if it is non-negative and not zero. ... Hilbert Modular Surfaces . and WebMar 23, 2024 · The surface is called the Hilbert modular surface. In this paper we mainly consider the surface. which is the moduli space of principally polarized abelian varieties of genus 2 with real multiplication. In order to prove the rationality of … orange county pools mohegan lake

Billiards and Teichmu¨ller curves on Hilbert modular surfaces

WebIn logic, especially mathematical logic, a Hilbert system, sometimes called Hilbert calculus, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of system of … WebSep 16, 2012 · Abstract: We outline a method to compute rational models for the Hilbert modular surfaces Y_{-}(D), which are coarse moduli spaces for principally polarized … orange county population by cityWebSiegel modular form; Hilbert modular surface; References. Jan H. Bruinier: Hilbert modular forms and their applications. Paul B. Garrett: Holomorphic Hilbert Modular Forms. Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, CA, 1990. ISBN 0-534-10344-8; Eberhard Freitag: Hilbert Modular Forms. Springer-Verlag. ISBN 0-387-50586-5 orange county pornography addiction treatment

"WebSome remarks on Hilbert modular surfaces of general type. To appear Download references Authors and Affiliations Mathematisches Institut der Universität, Wegelerstraße 10, D-5300, Bonn, Federal Republic of Germany F. Hirzebruch Mathematisch Instituut, Rijksuniversiteit te Leiden, Wassenaarseweg 80, Leiden, The Netherlands A. Van de Ven " - Hilbert modular surface

Hilbert modular surface

Webcertain Hilbert modular surface: we have V ˆ ˘= (H H)= ˆ M2; where is commensurable to SL2(OK), and parameterizes those X ad-mitting real multiplication by a given order in K. … WebJan 1, 1979 · Let us denote by BY the union of all curves on the Hilbert modular surface Y that arise from the resolution of singularities. The following important proposition is a slight generalisation of a similar one we gave in [3]. PROPOSITION 5. Let C be a non-singular rational curve on the Hilbert modular surface Y.

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WebInoue's surface (cfs Inoue'. s lecture at the Vancouver International Congress). Let G(M) act on H x C , the actio n being given by the same formula as before. ... HILBERT MODULAR SURFACES 1 2 - (K - 2e) - Sig n is 0 b signatury the e theorem an,d we can calculate this WebI Broad goal: Express geometric invariants of a Hilbert modular surface Y in terms of arithmetic invariants of the number eld and the group . I Goal: Understand Theorem IV.2.5 of van der Geer, which gives a formula for the Chern numbers of Y. Chern number = volume term + resolution terms from resolving cusps and cyclic quotient singularities. 2/25

Webon Hilbert modular surfaces Jan H. Bruinier, Jose I. Burgos Gil, and Ulf Kuhn¨ October 25, 2005 Abstract 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. Moreover, we determine the arithmetic self- http://playgroundsurfacing.com/location/charlotte-north-carolina-poured-in-place-rubber-playground-surfacing/

WebMODCLT is your premier Charlotte system-built home builder. Our company is the first to bring modular homes to Charlotte. When building system-built homes, we use the same … Webdiﬁerent type in a Hilbert modular surface over Z, arithmetic Hirzebruch-Zagier divisors and arithmetic CM cycles associated to non-biquadratic quartic CM ﬂelds. They intersect properly and have a conjectured arithmetic intersection formula [BY]. The main purpose of this paper is to prove the conjectured formula under a minor technical ...

Weba suitable regular model of the Hilbert modular surface. We show that the generating series of their classes in the arithmetic Chow ring is a holomorphic modular form (of the same level, weight, and character as in the case of Hirzebruch and Zagier). The main result of our work is that the product of this generating series with the square

WebThe Hilbert modular surface Σ is abundantly populated by modular curves (Shimuracurves), parameterizing Abelian varieties with an action of aquater-nion algebra [vG, §V]. However … orange county pool companiesWebThe key to a great poured in place rubber surface that lasts is expert installation and quality products, at PlaygroundSurfacing.com; we provide both. We are able to do intricate … orange county population by yearWebON HILBERT MODULAR SURFACES By TONGHAI YANG Abstract. In this paper, we obtain an explicit arithmetic intersection formula on a Hilbert modular surface between the … iphone record conference callWebThe surface has 10 Eckardt points where 3 lines meet, given by the point (1 : −1 : 0 : 0 : 0) and its conjugates under permutations. Hirzebruch (1976) showed that the surface … orange county power outageWebThe Hilbert modular group Γ acts on H2 by fractional linear transformations: a b c d z = az 1 +b cz 1 +d, a0z 2 0 c0z 2 +d0 (12) The quotient Y = Y(Γ) = Γ\H2 (13) is a complex surface, … iphone record callWebFoliations 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 … orange county power washing penal codeWebOver 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 … iphone record conversation