Hilbert modular

Author: kmoz

August undefined, 2024

WebWe give an introduction to the theory of Hilbert modular... The present notes contain the material of the lectures given by the author at the summer school on “Modular Forms and … WebThe 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 to Siegel modular threefolds.

Billiards and Hilbert modular surfaces Teichm ul ler curves

WebRemark 11. As the name suggests, Hilbert modular forms are connected to Hilbert modular sur-faces. Analogously to the case of modular curves, Hilbert modular forms are related to di erential forms on the Hilbert modular surface. The only complications arise from being careful about the behavior at the singularities [10, I.6, III.3]. WebSep 21, 2009 · For the p-adic Galois representation associated to a Hilbert modular form, Carayol has shown that, under a certain assumption, its restriction to the local Galois group at a finite place not dividing p is compatible with the local Langlands correspondence. Under the same assumption, we show that the same is true for the places dividing p, in the … ear-piercing quality

Introduction to Hilbert modular forms - wstein

WebIn order to generalize the notion of modular forms to other number elds (or function elds) in a uniform way, there is little alternative to the adelic theory. As for the last point, one can survive for a time studying Hilbert modular forms, Maass waveforms, Bianchi modular forms, etc, as these all can still be http://modularhomesofncsales.com/PLANS.html 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 ... ear piercing rio rancho

Hecke operators and Hilbert modular forms - UNCG

ON SYMMETRIC POWER L-INVARIANTS OF IWAHORI LEVEL …

WebA Hilbert modular variety Σ = Hg/Γ is a quotient of Hg by a lattice Γ ⊂ SL2(K). A typical example is provided by Γ = SL2(OK), where OK is the ring of integers in K. These varieties arise naturally in connection with real multiplication, as follows. 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 … ear piercing richmond kyWeb1 Hilbert modular surfaces In this section we give a brief introduction to Hilbert modular surfaces associated to real quadratic ﬁelds. For details we refer to [Fr], [Ga], [Ge1], [Go]. … ear piercing rochedale

"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 multiplication by a quadratic order of discriminant D > 1. The locus where A is a product of elliptic curves determines a ﬁnite union of algebraic curves XD(1) ⊂ XD. " - Hilbert modular

Hilbert modular

WebDOI: 10.5802/AIF.1569 Corpus ID: 55489674 $p$-adic interpolation of convolutions of Hilbert modular forms @article{Dnger1997padicIO, title={\$p\$-adic interpolation ... WebLectures on Hilbert Modular Varieties and Modular Forms About this Title. Eyal Z. Goren, McGill University, Montreal, QC, canada. Publication: CRM Monograph Series Publication …

Did you know?

WebHilbert modular surfaces have been objects of extensive investigation in complex and algebraic geometry, and more recently in number theory. Since Hilbert modular varieties are moduli spaces for abelian varieties with real multiplication by an order in a totally real eld, they have intrinsic arithmetic content. Their geometry 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 surfaces, both geometric and arithmetic aspects are treated. An abundance of examples - in fact a whole chapter - completes this competent presentation of the subject.

WebHILBERT'S MODULAR GROUP OF THE FIELD Q (√5) AND THE CUBIC DIAGONAL SURFACE OF CLEBSCH AND KLEIN F. Hirzebruch Published 1 October 1976 Mathematics Russian Mathematical Surveys View via Publisher Save to Library Create Alert Cite 28 Citations Citation Type More Filters Hilbert Modular Forms E. Freitag Mathematics 1990 WebSTRATIFICATIONS OF HILBERT MODULAR VARIETIES E. Z. GOREN AND F. OORT Abstract. We consider g-dimensional abelian varieties in characteristic p, with a given action of O L- the ring of integers of a totally real eld Lof degree g. A strati cation of the associated moduli spaces is de ned by considering the action of O

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 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 congruence subgroup. The projection of these cycles to each π component produces a Tate class in each IH2(π) for which πis a lift. Embedding the modular curve ...

WebOutlineTorus embeddingsHilbert modular varieties and their boundary componentsToroidal compacti cation analytic theoryAlgebraic theory Toroidal compacti cations of Hilbert …

WebJul 19, 2024 · Given a Hilbert space H, the set P(H) of one-dimensional subspaces of H becomes an orthoset when equipped with the orthogonality relation ⊥ induced by the inner product on H. Here, an orthoset is a pair (X,⊥) of a set X and a symmetric, irreflexive binary relation ⊥ on X. In this contribution, we investigate what conditions on an orthoset (X,⊥) … ctab chest examWebPLANS. Welcome to Modular Homes of North Carolina. 143 PARKER LANE - RICHFIELD,NC 28137 (704) 463-1055. Builder Signature 26' Wide. Builder Signature. Ranch. … ear piercings at cvsWebOct 14, 2003 · Borcherds products and arithmetic intersection theory on Hilbert modular surfaces Jan H. Bruinier, Jose I. Burgos Gil, Ulf Kuehn 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. ear piercing richmond indianahttp://masterpiecehomesofthecarolinas.com/ ear piercing rock springs wyWebMotivated by the above discussion, for the rest of the introduction, we use the symbol fto denote a Hilbert modular form (for F) of weight (k;2), and discuss in turn the two periods that one can attach to such an fthat capture the transcendental 6 part of critical values of the Asai L-function of f. ear piercing robina town centreWebHILBERT MODULAR FORMS AND THEIR GALOIS REPRESENTATIONS 3 elements of K. Then we have 4 = dimF D= (dimK D) ×[K: F]. Thus [K: F] is either 4 or 2. If [K: F] = 4, K= D, and … ear piercings and their meaningsWebOver 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 … ear piercing salon near me