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 product of multiple copies of the upper half-plane by a Hilbert modular group. Hilbert modular surfaces were first described by Otto Blumenthal (1903, 1904) using some unpu… WebModular 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 …
Hilbert Modular Forms and Their Applications SpringerLink
WebSelect your product type and find dealers. Finding the right dealer is key to getting the right help. Simplicity dealers are certified and specialize in selling or servicing our different … 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. popular jamaican songs in america
Is there an analogue for Ramanujan–Serre derivative for Hilbert modular …
http://math.bu.edu/people/jsweinst/Teaching/MA843/AdelicModularForms.pdf 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. 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. popular japanese beer crossword clue