Courbes sur une variété abélienne et points de torsion
From MaRDI portal
Publication:1057956
DOI10.1007/BF01393342zbMath0564.14020OpenAlexW2021407754WikidataQ106654820 ScholiaQ106654820MaRDI QIDQ1057956
Publication date: 1983
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142988
Manin-Mumford conjecturetorsion pointsMordell conjecturealgebraic curve on abelian varietyrational points on algebraic curves
Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)
Related Items
Some examples toward a Manin-Mumford conjecture for abelian uniformizable \(T\)-modules, Non-density of small points on divisors on Abelian varieties and the Bogomolov conjecture, Points of small height on semiabelian varieties, Elliptic curves with common torsion 𝑥-coordinates and hyperelliptic torsion packets, Algebraic dynamics of the lifts of Frobenius, A note on o-minimal flows and the Ax-Lindemann-Weierstrass theorem for semi-abelian varieties over \(\mathbb{C}\), Small points and the Bogomolov conjecture, Characteristic cycles and the microlocal geometry of the Gauss map, I, Sparsity of \(p\)-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer, Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang), Unlikely, likely and impossible intersections without algebraic groups, Torsion points of small order on hyperelliptic curves, Geometric Bogomolov conjecture in arbitrary characteristics, SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES, Uniformity in Mordell-Lang for curves, Geometry of \(p\)-jets, Torsion points on isogenous abelian varieties, Manin-Mumford by Weyl's criterion, On the kernels of the pro-\(l\) outer Galois representations associated to hyperbolic curves over number fields, On an analogue of the Lutz-Nagell theorem for hyperelliptic curves, The Manin-Mumford conjecture and the Tate-Voloch conjecture for a product of Siegel moduli spaces, Unlikely intersections of curves with algebraic subgroups in semiabelian varieties, An overview on problems of unlikely intersections in families of abelian varieties, Further examples of non-geometric sections of arithmetic fundamental groups, Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups, Survey lecture on arithmetic dynamics, The number of rational points on a curve of genus at least two, Borne sur la torsion dans les variétés abéliennes de type CM, The Manin-Drinfeld theorem and the rationality of Rademacher symbols, Greatest common divisor results on semiabelian varieties and a conjecture of Silverman, Dynamical anomalous subvarieties: structure and bounded height theorems, On the number of points of given order on odd-degree hyperelliptic curves, Finite orbits for large groups of automorphisms of projective surfaces, Rational points on algebraic curves in infinite towers of number fields, Linear relations between polynomial orbits, Some remarks on almost rational torsion points, \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\), A variant of a theorem by Ailon-Rudnick for elliptic curves, Unlikely intersection problems for restricted lifts of a \(p\)-th power, Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔, Galois theory and torsion points on curves., Bicyclotomic polynomials and impossible intersections, Torsion points on families of products of elliptic curves, A case of the dynamical Mordell-Lang conjecture, Unnamed Item, Lectures on the Ax–Schanuel conjecture, Sharpening `Manin-Mumford' for certain algebraic groups of dimension 2, Generic rank of Betti map and unlikely intersections, Division polynomials and intersection of projective torsion points, On a modular Fermat equation, Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture, Arithmetic differential equations in several variables, On $\psi$-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture, On a question of B. Mazur, Unnamed Item, Computing Torsion Points on Curves, KAWA 2015: Dynamical moduli spaces and elliptic curves, Hilbert irreducibility above algebraic groups, Open conditions for infinite multiplicity eigenvalues on elliptic curves, Plane curves and p-adic roots of unity, Infinitesimal Mordell-Lang, Ramified torsion points on curves, Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve, Lectures on Hodge theory and algebraic cycles, Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle, Division by on odd-degree hyperelliptic curves and their Jacobians, Schneider-Siegel theorem for a family of values of a harmonic weak Maass form at Hecke orbits, Unnamed Item, Hecke points on modular curves, On the conjectures of Mordell and Lang in positive characteristics, An infinitesimal p-adic multiplicative Manin–Mumford Conjecture, Ax-Schanuel type theorems on functional transcendence via Nevanlinna theory, Current trends and open problems in arithmetic dynamics, Unnamed Item, Ramification of torsion points on curves with ordinary semistable Jacobian varieties, The bounded height conjecture for semiabelian varieties, Examples of torsion points on genus two curves, \(T\)-modules and Pila-Wilkie estimates, Small points on constant arithmetic surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- Division points on curves
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes