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 multiplication by a quadratic order of discriminant D > 1. The locus where A is a product of elliptic curves determines a finite union of algebraic curves XD(1) ⊂ XD. WebHilbert modular variety (cf. [RT11, Section 3.1.9]). When F =Qand w=2−k we recover the usual notion of an elliptic modular form of weight k. If p is a prime number, then (by Eichler, Shimura, Deligne, Wiles, Tay-lor, Blasius-Rogawski) …
Hilbert College Private 4-year College in New York State
WebOct 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 ... WebSTRATIFICATIONS 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 how many more days till april 5 2023
Arithmetic of the Asai L-function for Hilbert modular forms
WebOct 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 … Webthe modular curve into the Hilbert modular sur-face. We have SL2(Z) ,→ SL2(O F) and h,→ h × h giving rise to SL2(Z)\h,→ SL2(O F)\(h × h). More generally, we can work with a congruence subgroup. The projection of these cycles to each π component produces a Tate class in each IH2(π) for which πis a lift. Embedding the modular curve ... WebMotivated by the above discussion, for the rest of the introduction, we use the symbol fto denote a Hilbert modular form (for F) of weight (k;2), and discuss in turn the two periods that one can attach to such an fthat capture the transcendental 6 part of critical values of the Asai L-function of f. how many more days till august 15