Hilbert modular
WebOct 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. WebJun 15, 2006 · Hilbert Modular Forms and Iwasawa Theory Haruzo Hida Published: 15 June 2006 Cite Permissions Share Abstract The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt.
Hilbert modular
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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 … 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].
WebOutlineTorus embeddingsHilbert modular varieties and their boundary componentsToroidal compacti cation analytic theoryAlgebraic theory Toroidal compacti cations of Hilbert … 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 ...
WebIn mathematical physics, Hilbert system is an infrequently used term for a physical system described by a C*-algebra. In logic, especially mathematical logic, a Hilbert system, … WebNov 20, 2024 · In this article we refine the method of Bertolini and Darmon $\left[ \text{BD}1 \right],\,\left[ \text{BD2} \right]$ and prove several finiteness results for anticyclotomic Selmer groups of Hilbert modular forms of parallel weight two.
WebHilbert Modular Forms and Their Applications Jan Hendrik Bruinier Chapter 6137 Accesses 7 Citations Part of the Universitext book series (UTX) Abstract The present notes contain the material of the lectures given by the author at the summer school on “Modular Forms and their Applications” at the Sophus Lie Conference Center in the summer of 2004.
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. sign in microsoft business 365Web1 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]. … the queen bee halfWebModular Homes. Modular homes are built in only half the time it takes to build a conventional custom home. Our legendary craftsmanship combined with our use of the … the-queenbee.comWebIn 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 sign in microsoft edge account syncWebThe foliated Hilbert modular surface (XD,FD) presents a similar struc-ture, with the fibration p : X → V replaced by the holomorphic foliation AD coming from the level sets of τ 1 on … sign in microsoft edge browserWebOct 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 … the queen bee di count basieWebLectures on Hilbert Modular Varieties and Modular Forms About this Title. Eyal Z. Goren, McGill University, Montreal, QC, canada. Publication: CRM Monograph Series Publication … sign in microsoft exchange