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 ... WebJul 20, 2024 · It doesn't preserve holomorphicity, but it sends holomorphic Hilbert modular forms to "nearly-holomorphic" forms in Shimura's sense. For n = 1 something special happens, which is that the nearly-holomorphic forms are freely generated by E 2 as a polynomial ring over the holomorphic ones.
Hilbert modular
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In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables. It is a (complex) analytic function on the m-fold product of upper half-planes $${\displaystyle {\mathcal {H}}}$$ satisfying a certain kind of functional equation. See more These modular forms, for real quadratic fields, were first treated in the 1901 Göttingen University Habilitationssschrift of Otto Blumenthal. There he mentions that David Hilbert had considered them initially in work from 1893-4, … See more • Siegel modular form • Hilbert modular surface See more WebThe quotient of the Hilbert modular group by its level 2 congruence subgroup is isomorphic to the alternating group of order 60 on 5 points. Like all nonsingular cubic surfaces, the Clebsch cubic can be obtained by blowing up the projective planein 6 points. Klein (1873)described these points as follows.
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. 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.
WebJul 21, 2024 · My old book on Hilbert modular forms does a mildly adelic, but not overtly representation-theoretic, proof that Hilbert modular theta series are Hilbert modular forms.) And, yes, the archimedean theta correspondence sends the trivial repn of real-anisotropic orthogonal groups to holomorphic discrete series. Also, non-trivial repns, attached to ... WebHILBERT 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 …
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.
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 ipad mini brand newWebHilbert Technologies is a quantitative investment management company trading in various financial markets. Our investment strategies are created through rigorous research based … ipad mini bypass icloudWebRemark 1. Analogously to the modular curve we discussed in the first section the Hilbert modular surface Y(Γ) has a moduli interpretation. It is the moduli space for isomorphism … open office windows 11 gratis downloadenWebHilbert 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. open office windows 11 s modeWebSTRATIFICATIONS 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 openoffice windows 8 free downloadWebOct 8, 2024 · Let f be a primitive Hilbert modular cusp form of arbitrary level and parallel weight k, defined over a totally real number field F. We define a finite set of primes S{\mathcal{S}} that depends on ... ipad mini case officeworkshttp://www.hilbert.edu/ open office word als pdf speichern