WebDetermining 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 … 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 …
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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 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 cell phone sim key
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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 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, … 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. cell phone simplifying apps