منابع مشابه
Complete Subvarieties of Moduli Spaces and the Prym Map
In this paper we present a formula for the number of isomorphism classes of p-rank zero étale double covers of genus 2 curves over an algebraically closed field of characteristic p > 2. The formula is a byproduct of our search for complete subvarieties of moduli spaces of curves. Many moduli spaces are not complete because the objects that they parametrize can degenerate. Examples are the modul...
متن کاملDimensions of Prym Varieties
Given a tame Galois branched cover of curves π : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula can be applied to the study of algebraic integrable systems using Lax pairs, in particular systems associated with Seiberg-Witten theory. ...
متن کاملQuantum Variance for Hecke Eigenforms ✩
– We calculate the quantum variance for the modular surface. This variance, introduced by S. Zelditch, describes the fluctuations of a quantum observable. The resulting quadratic form is then compared with the classical variance. The expectation that these two coincide only becomes true after inserting certain subtle arithmetic factors, specifically the central values of corresponding L-functio...
متن کاملAnalytic Continuation of Overconvergent Eigenforms
First we give an overview of our main results and applications. Let r ≥ 1 be an integer, let p be a prime, and let N ≥ 5 be a positive integer prime to p. Let k be an integer and let f be an overconvergent p-adic modular form of weight k and level Np. That is, f is a section of ω⊗k over a rigid analytic subspace of X1(Np) strictly containing the connected component of the ordinary locus contain...
متن کاملFourier Coefficients of Hecke Eigenforms
We provide systematic evaluations, in terms of binary quadratic representations of 4p, for the p-th Fourier coefficients of each member f of an infinite class C of CM eigenforms. As an application, previously conjectured evaluations of three algebro-geometric character sums can now be formulated explicitly without reference to eigenforms. There are several non-CM newforms that appear to share s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2016
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2277