Arithmetic and geometry of the curve y³+1=x⁴
Arithmetic cycles on Picard modular surfaces and modular forms of Nebentypus.
Arithmetic genus of integral space curves
We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree . Our main technique is the Bogomolov-Gieseker type inequality for proved by Macrì.
Arithmetic Monodromy Groups.
Arithmetic of cyclic quotients of the Fermat quintic
Arithmetic of the modular function
We find a generator of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.
Arithmetic of Weil Curves.
Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large.
Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
Arithmetic on elliptic curves with complex multiplication. II.
Arithmetic on two dimensional local rings.
Arithmetic over the rings of all algebraic integers.
Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.
Arithmetical aspects of saturation of singularities
Arithmetical graphs.
Arithmetically Cohen-Macaulay curves in P4 of degree 4 and genus 0.
Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.
Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
Arithmetically normal sheaves
Arithmétique de courbes modulaires
Arithmétique des courbes elliptiques et théorie d'Iwasawa