Hilbert modular surface

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August undefined, 2024

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. 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

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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 … 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 im honey mask

Humbert Surfaces SpringerLink

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 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 … 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 … im honor

Explicit Algorithms for Humbert Surfaces David Gruenewald

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

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. … 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 … imh onlineWebSome 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 i m hooked on you

"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 … " - Hilbert modular surface

Hilbert modular surface

WebJan 3, 2024 · representations appearing in the geometry of Hilbert modular surfaces. If a conjecture of Bloch and Kato on injectivity of regulator maps holds, this Euler system is … WebSiegel 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

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WebThe 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, … Webis the complete understanding of how the corresponding Hilbert modular surface (Z (D)) ts into the Enriques-Kodaira rough classi cation of surfaces, which classi es a surface X in terms of its Hodge numbers hi;j = dimHj(X; i). Such a surface is regular and simply connected, hence is either

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 … 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 …

WebJun 1, 2010 · Bruinier and Yang conjectured a formula for an intersection number on the arithmetic Hilbert modular surface, CM(K).T_m, where CM(K) is the zero-cycle of points corresponding to abelian surfaces with CM by a primitive quartic CM field K, and T_m is the Hirzebruch-Zagier divisors parameterizing products of elliptic curves with an m-isogeny … WebDetermining Building Restrictions for a Specific Property: If a property is located in a subdivision, the maximum built upon area allocated to that property can be obtained from …

WebIn the special case of RM-5, the Hilbert modular surface Y(5) = Y (5) is a rational surface, i.e., birational to P2 m;n(C). Hence to proveTheorem 1.1, it su ces to show that the vanishing of the Mestre obstruction at a rational point (m;n) in Y(5) is generically equivalent to the condition that m2 5n2 5 = u2 5v2 for some u;v2Q. This

http://www.numdam.org/item/AST_1976__32-33__151_0.pdf imhope charter new castle pa. betting lineWebthe Hilbert modular surface XD is populated by inﬁnitely many modular curves FN [Hir], [vG]. The endomorphism ring of a generic Abelian variety in FN is a quaternionic order R of discriminant N2. In general FN can be reducible, and R is not determined up to iso-morphism by N. In §3 we introduce a reﬁnement FN(ν) of the traditional imho organizationWebHilbert modular surfaces and the classification of algebraic surfaces. Andreotti, A.: On the complex structures of a class of simply connected manifolds. In: Algebraic geometry and … im hooked oregonWebHilbert modular surfaces, Surfaces modulaires de Hilbert, 31.14 number theory, Hilbert-Fläche, Hilbertsche Modulfläche, Hilbert modulaire oppervlakken, Surfaces, Algebraic, … list of private high schools in marylandWebThe Hilbert modular surface Σ is abundantly populated by modular curves (Shimuracurves), parameterizing Abelian varieties with an action of aquater-nion algebra [vG, §V]. However … list of private hospital in usaWebON HILBERT MODULAR SURFACES By TONGHAI YANG Abstract. In this paper, we obtain an explicit arithmetic intersection formula on a Hilbert modular surface between the … list of private hospital in bhiwadiWebDec 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 … list of private health insurance australia