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 WebHilbert modular surfaces, Surfaces modulaires de Hilbert, 31.14 number theory, Hilbert-Fläche, Hilbertsche Modulfläche, Hilbert modulaire oppervlakken, Surfaces, Algebraic, …
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WebJun 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. 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 sibson cum stibbington
HILBERT MODULAR SURFACES - uni-bonn.de
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 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 … 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. the perfect wall joe lstiburek