Heights of Heegner points on Shimura curves.
Heights of varieties in multiprojective spaces and arithmetic Nullstellensätze
We present bounds for the degree and the height of the polynomials arising in some problems in effective algebraic geometry including the implicitization of rational maps and the effective Nullstellensatz over a variety. Our treatment is based on arithmetic intersection theory in products of projective spaces and extends to the arithmetic setting constructions and results due to Jelonek. A key role is played by the notion of canonical mixed height of a multiprojective variety. We study this notion...
Heigth inequality of algebraic points on curves over functional fields.
Higher regulators and Hecke L-series of imaginary quadratic fields I.
Hilbert functions and Witt functions. An identity for congruences of Atkin and of Swinnerton-Dyer type.
Hilbert Modular Forms for the Field Q (...|
Hilbert Modular Surfaces and the Classification of Algebraic Surfaces.
Hilbert sets and zeta functions over finite fields.
Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Hirzebruch's conjecture on cusp singularities.
Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification
Höhentheorie (mit einem Appendix von Jürg Kramer: Eine alternative Begründung der Néron-Tate Höhe).
Holomorphe Abbildungen zwischen quasiprojektiven Räumen.
Holomorphy of local zeta functions for curves.
Homologie du groupe linéaire et polylogarithmes
Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama
Horizontal sections of connections on curves and transcendence
Let K be a number field, X be a smooth projective curve over it and D be a reduced divisor on X. Let (E,∇) be a vector bundle with connection having meromorphic singularities on D. Let and (the ’s may be in the support of D). Using tools from Nevanlinna theory and formal geometry, we give the definition of E-section of arithmetic type of the vector bundle E with respect to the points ; this is the natural generalization of the notion of E-function defined in Siegel-Shidlovskiĭ theory. We prove...
How to generate all integral triangles containing a given angle.
Hybrid sup-norm bounds for Hecke–Maass cusp forms
Let be a Hecke–Maass cusp form of eigenvalue and square-free level . Normalize the hyperbolic measure such that and the form such that . It is shown that for all . This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields