Hilbert modular surface

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August undefined, 2024

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 … 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

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WebON HILBERT MODULAR SURFACES By TONGHAI YANG Abstract. In this paper, we obtain an explicit arithmetic intersection formula on a Hilbert modular surface between the … 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 … smarcb1 and lztr1

Minimal models for Hilbert modular surfaces of ... - ScienceDirect

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 ... 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 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 … hiler tax ross oh

ARITHMETIC INTERSECTION ON A HILBERT MODULAR …

Hilbert modular surfaces and the classification of algebraic …

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 … 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 … smarca4 thoracic tumorWebSiegel 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 hiler industries walkerton indiana

"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 … " - Hilbert modular surface

Hilbert modular surface

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

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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 ... 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 …

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 … WebAbstract. This chapter is devoted to complex abelian surfaces whose endomorphism ring contains an order from a real quadratic field. The 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 ...

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 WebHilbert 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 …

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 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 smarca4 therapyWebIn 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 … smarcb1 inhibitorWeba 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 hiler truckingWebHilbert 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 … smarcb1 rccWeb\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, … smarcc2 taqmanWebFoliations 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 … smarcentWebJun 25, 2024 · We study the Iwasawa main conjecture for quadratic Hilbert modular forms over the p-cyclotomic tower. Using an Euler system in the cohomology of Siegel modular varieties, we prove the "Kato divisibility" of the Iwasawa main conjecture under certain technical hypotheses. smarce1是什么