scientific article; zbMATH DE number 773855
From MaRDI portal
zbMath0861.14019MaRDI QIDQ4838939
Publication date: 14 May 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic theory of abelian varieties (14K05)
Related Items
An analytic description of local intersection numbers at non-Archimedian places for products of semi-stable curves, Two-variable polynomials with dynamical Mahler measure zero, Height of varieties over finitely generated fields, Points of small height on semiabelian varieties, Adelic Cartier divisors with base conditions and the continuity of volumes, Faltings height and Néron–Tate height of a theta divisor, Algebraic dynamics of the lifts of Frobenius, Minimally critical regular endomorphisms of, Unnamed Item, Small points and the Bogomolov conjecture, A non-Archimedean Ohsawa-Takegoshi extension theorem, Canonical Kähler metrics and arithmetics: generalizing Faltings heights, Geometric Bogomolov conjecture in arbitrary characteristics, Mahler measures and logarithmic equidistribution, A Mordell-Lang plus Bogomolov type result for curves in \(\mathbb G_m^2\), Trace of abelian varieties over function fields and the geometric Bogomolov conjecture, Higher arithmetic degrees of dominant rational self-maps, On arithmetic intersection numbers on self-products of curves, Gross-Schoen cycles and dualising sheaves, Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres, The geometric Bogomolov conjecture, The canonical spectrum of projective toric manifolds, The dynamical Manin-Mumford problem for plane polynomial automorphisms, Factoring bivariate sparse (lacunary) polynomials, Higher dimensional essential minima and equidistribution of cycles, Height coincidences in products of the projective line, Capacity theory and arithmetic intersection theory, A dynamical construction of small totally \(p\)-adic algebraic numbers, Unlikely intersections of curves with algebraic subgroups in semiabelian varieties, A Gap Principle for Subvarieties with Finitely Many Periodic Points, Metrised ample line bundles in non-Archimedean geometry, The number of rational points on a curve of genus at least two, Arithmetic Okounkov bodies and positivity of adelic Cartier divisors, A nondensity property of preperiodic points on Chebyshev dynamical systems, Quasi-adelic measures and equidistribution on, Finite orbits for large groups of automorphisms of projective surfaces, On the Northcott property for special values of \(L\)-functions, On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics, Abelian extensions in dynamical Galois theory, Equidistribution of subvarieties of small height, The equidistribution of small points for strongly regular pairs of polynomial maps, Toward Dirichlet's unit theorem on arithmetic varieties, A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups, Unlikely intersection problems for restricted lifts of a \(p\)-th power, Global pluripotential theory on hybrid spaces, Heights on a subvariety of an abelian variety., Points de petite hauteur sur les variétés semi-abéliennes, Unnamed Item, A comparison of the real and non-Archimedean Monge-Ampère operator, Heights of hypersurfaces in toric varieties, Numerical characterization of nef arithmetic divisors on arithmetic surfaces, A dynamical pairing between two rational maps, Density of points and lower bound for the height, DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE, The arithmetic Hodge index theorem and rigidity of dynamical systems over function fields, Finite index theorems for iterated Galois groups of unicritical polynomials, Proof of a dynamical Bogomolov conjecture for lines under polynomial actions, Big line bundles over arithmetic varieties, On Zhang's semipositive metrics, The arithmetic Hodge index theorem for adelic line bundles, On the preperiodic points of an endomorphism of ℙ¹×ℙ¹ which lie on a curve, Positivity properties of metrics and delta-forms, On the nondensity of integral points, Canonical height functions for affine plane automorphisms, Quantitative uniform distribution of points of small height on the projective line, Diophantine geometry and toric varieties., Arakelov geometry, heights, equidistribution, and the Bogomolov conjecture, Singular semipositive metrics in non-Archimedean geometry, The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of, Arithmetic positivity on toric varieties, Valuations, intersections and Belyi functions--some remarks on the construction of heights, Successive minima of toric height functions, On the slopes of the lattice of sections of hermitian line bundles, On the zeta function associated with the singular Laplacian \(\Delta_{\overline{\mathcal O(m)}_{\infty}}\), Nonarchimedean Green functions and dynamics on projective space, Height of toric subschemes and Legendre-Fenchel duality, The Non-Archimedean Monge–Ampère Equation, A Gelfand-Beurling type formula for heights on endomorphism rings, Current trends and open problems in arithmetic dynamics, Common preperiodic points for quadratic polynomials, A generalized spectral theory for continuous metrics on compact Riemann surfaces, Successive minima and asymptotic slopes in Arakelov geometry, Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra., A new formula for Mahler's measure, Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables, The Arakelov-Zhang pairing and Julia sets, Unnamed Item, Néron-Tate heights of cycles on jacobians, Canonical heights of toric subvarieties, Intersection theory of nefb-divisor classes, The theta invariants and the volume function on arithmetic varieties
