Hilbert modular surface

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August undefined, 2024

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. 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

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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 … 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. chingay watch party

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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 … 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 … WebFoliations 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 … chingay route

Hilbert modular surfaces and class numbers - Numdam

Borcherds products and arithmetic intersection theory on Hilbert ...

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

"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 " - Hilbert modular surface

Hilbert modular surface

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 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 …

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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 … 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

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 … http://playgroundsurfacing.com/location/charlotte-north-carolina-poured-in-place-rubber-playground-surfacing/

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 ... 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 …

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

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, … granger recreation center garland txWebThe 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 … chingay we got talentWebcertain 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. … chingay ticketsWebDetermining 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 … granger recycling hours chingay websiteWebSiegel 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 granger recycling itemsWebJan 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 … ching basket