Tate duality and ramification of division algebras
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.
Tautological Cycles on Jacobian Varieties
Tautological relations and the -spin Witten conjecture
In [11], A. Givental introduced a group action on the space of Gromov–Witten potentials and proved its transitivity on the semi-simple potentials. In [24, 25], Y.-P. Lee showed, modulo certain results announced by C. Teleman, that this action respects the tautological relations in the cohomology ring of the moduli space of stable pointed curves. Here we give a simpler proof of this result. In particular, it implies that in any semi-simple Gromov–Witten theory where arbitrary correlators can be...
Teichmüllerraum für total degenerierte Kurven.
Teorema de irreducibilidad para correspondencias algebraicas.
Sea T una correspondencia algebraica irreducible entre dos variedades proyectivas, V y V', sobre un cuerpo k algebraicamente cerrado y de característica cero. Sea W una subvariedad irreducible de V y W' = T{W} la transformada total de W en T. En [1] se estudia el problema de la conexión de W' y en [3] se estudia el problema de la irreducibilidad de la transformada total de W en correspondencias locales. La finalidad de este artículo es la de aprovechar los resultados de los dos trabajos citados,...
Termes locaux de la formule de Lefschetz pour les courbes
Terms in elliptic divisibility sequences divisible by their indices
Ternary quartics and 3-dimensional commutative algebras.
Tetragonal modular curves
The Abel-Jacobi map for cubic threefold and periods of Fano threefolds of degree 14.
The absolute anabelian geometry of canonical curves.
The ampleness of the theta divisor on the compactified jacobian of a proper and integral curve
The analytic order of III for modular elliptic curves
In this note we extend the computations described in [4] by computing the analytic order of the Tate-Shafarevich group III for all the curves in each isogeny class ; in [4] we considered the strong Weil curve only. While no new methods are involved here, the results have some interesting features suggesting ways in which strong Weil curves may be distinguished from other curves in their isogeny class.
The annihilation of divisor classes in abelian extensions of the rational function field
The Apery algorithm for a plane singularity with two branches.
The arithmetic of curves defined by iteration
We show how the size of the Galois groups of iterates of a quadratic polynomial f can be parametrized by certain rational points on the curves Cₙ: y² = fⁿ(x) and their quadratic twists (here fⁿ denotes the nth iterate of f). To that end, we study the arithmetic of such curves over global and finite fields, translating key problems in the arithmetic of polynomial iteration into a geometric framework. This point of view has several dynamical applications. For instance, we establish a maximality theorem...
The Arithmetic of Elliptic Curves.
The arithmetic of Fermat curves.
The arithmetic of function fields