Hilbert modular surface

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August undefined, 2024

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 … WebHilbert modular surfaces, Surfaces modulaires de Hilbert, 31.14 number theory, Hilbert-Fläche, Hilbertsche Modulfläche, Hilbert modulaire oppervlakken, Surfaces, Algebraic, …

Hilbert modular form - Wikipedia

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 … 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 gr3enox cracked

Hilbert modular variety - Wikipedia

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 … 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 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, … gr3enox how to use domain

K3 surfaces and equations for Hilbert modular surfaces

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- 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 … gr3htca15wWebSiegel 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 gr3gory88 twitter

"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 " - Hilbert modular surface

Hilbert modular surface

Webthe 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 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

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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 … 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. Let us say ! is a Weierstrass form if its zero divisor is concentrated at a single point. By imposing this additional condition, we reduce from surfaces to curves and ...

http://playgroundsurfacing.com/location/charlotte-north-carolina-poured-in-place-rubber-playground-surfacing/ In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is an algebraic surface obtained by taking a quotient of a product of two copies of the upper half-plane by a Hilbert modular group. More generally, a Hilbert modular variety is an algebraic variety obtained by taking a quotient of a … See more If R is the ring of integers of a real quadratic field, then the Hilbert modular group SL2(R) acts on the product H×H of two copies of the upper half plane H. There are several birationally equivalent surfaces related to this … See more • Hilbert modular form • Picard modular surface • Siegel modular variety See more Hirzebruch (1953) showed how to resolve the quotient singularities, and Hirzebruch (1971) showed how to resolve their cusp singularities. See more The papers Hirzebruch (1971), Hirzebruch & Van de Ven (1974) and Hirzebruch & Zagier (1977) identified their type in the classification of algebraic surfaces. Most of them are See more • Ehlen, S., A short introduction to Hilbert modular surfaces and Hirzebruch-Zagier cycles (PDF) See more

WebThe 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 … WebDe ne Hilbert modular varieties, their cusps and fundamental domains for arbi-trary totally real number elds K=Q ([vdG88, Chapter I.1.,I.3.]). Then prove the structure of elliptic xed points ([vdG88, Chapter I.5.]), introduce the quotients Hn= (as analytic spaces) and de ne Hilbert modular forms ([vdG88, Chapter I.6.]). Finally, identify ...

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. …

WebNov 8, 2013 · MotivationThe Hilbert Modular GroupResolution of the CuspsSignatures The narrow class group C+ = fractional ideals modulo strict equivalence: a ˘b ,a = b for some totally positive 2F For a fractional ideal a of F, a 7!a 2 induces a homomorphism Sq: C !C+ where C+ is the narrow class group of F Hence to each cusp corresponding to an ideal … gr3 iphoneWeb\HILBERT MODULAR SURFACES" Organizer: Johannes Anschutz 1 Time and place: WS 17/18, Tuesdays, 16-18h, SR 0.003 Preliminary meeting: Wednesday, 26.07.2024, 16-18h, … gr3enox how to use custom domainWebDetermining 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 … gr3enox downloadWebJun 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 … gr3 indoor cycle w/ consoleWeba 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 gr3 implant healing abutmentWebOct 1, 2024 · Hilbert modular forms can be restricted to the Hirzebruch-Zagier cycles of [16] to produce elliptic modular forms for Γ 0 (n). Recall that the Hirzebruch-Zagier cycle of discriminant n is the set T n ⊆ H × H of all points ( τ 1 , τ 2 ) that satisfy an equation of the form a τ 1 τ 2 + λ τ 1 + λ ′ τ 2 + b = 0 for some a , b ∈ Z ... gr3nox downloadWebThe Hilbert modular surface Σ is abundantly populated by modular curves (Shimuracurves), parameterizing Abelian varieties with an action of aquater-nion algebra [vG, §V]. However these curves are covered by the graphs of isometries, so we have: Corollary 10.2 The Teichmu¨ller curve V ⊂ Σ is not a modular curve. gr3 redeath