Hilbert modular surface

Author: jhzk

August undefined, 2024

WebThe 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 … 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

Charlotte, North Carolina Poured In Place Rubber Surfacing

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 … 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 … simply medicaid appeal address

BORCHERDS PRODUCTS AND ARITHMETIC INTERSECTION …

Web\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, … WebHere we describe classical theta functions and Satake compactiﬁcations as well as provide some examples of mod- uli spaces of abelian surfaces having a real multiplication (RM) structure (Hilbert modular surfaces). Chapter 2 is an overview of Humbert surfaces. 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 simply media productions

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

ARITHMETIC INTERSECTION ON A HILBERT MODULAR …

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 … 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. simply mediation southendWebSome 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 simply media shop

"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, … " - Hilbert modular surface

Hilbert modular surface

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 … WebSep 16, 2012 · We outline a method to compute rational models for the Hilbert modular surfaces Y_ {-} (D), which are coarse moduli spaces for principally polarized abelian surfaces with real multiplication by the ring of integers in Q (sqrt {D}), via moduli spaces of elliptic K3 surfaces with a Shioda-Inose structure.

Did you know?

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 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

WebOct 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 ... 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 …

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 … 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-

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 … raytheon technologies apparelhttp://www.numdam.org/item/AST_1976__32-33__151_0.pdf raytheon technologies atlanta gaWebis 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 raytheon technologies annual revenue raytheon technologies address ukWebJun 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. simply medicaid auth requestWebOver 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 … simply medicaid authorization formWebJan 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 … simply medicaid appeal form