For which Jacobi varities is Sing ... reducible?
Form Factors, KdV and Deformed Hyperelliptic Curves
Formal deformation of curves with group scheme action
We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.
Formal group laws for certain formal groups arising from modular curves
Formal Groups and Zeta-Functions of Elliptic Curves.
Formal groups in genus two.
Formelle Standardmodelle hyperelliptischer Kurven.
Formes linéaires de logarithmes de points algébriques sur une courbe elliptique de type
Nous obtenons une minoration d’une forme linéaire de logarithmes elliptiques de points algébriques d’une courbe elliptique à multiplication complexe définie sur . Cette minoration est optimale (à constante près) en la hauteur de la forme linéaire considérée.
Forms for the Abelian Integrals of the three kinds in the case of a curve for which the tangents at the multiple points are distinct from one another.
Formulae for the singularities at infinity of plane algebraic curves.
Fourier-Mukai transforms and stable bundles on elliptic curves.
Fragmented deformations of primitive multiple curves
A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization...
Frobenius indices of certain curves over finite fields.
Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree
For each integer s ≥ 1, we present a family of curves that are -Frobenius nonclassical with respect to the linear system of plane curves of degree s. In the case s=2, we give necessary and sufficient conditions for such curves to be -Frobenius nonclassical with respect to the linear system of conics. In the -Frobenius nonclassical cases, we determine the exact number of -rational points. In the remaining cases, an upper bound for the number of -rational points will follow from Stöhr-Voloch...
From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
From the elliptic regulator to exotic relations.
From the Taniyama-Shimura conjecture to Fermat's last theorem
Fuchsian groups and uniformization of Hurwitz spaces.
Function fields of certain arithmetic curves and application
Fundamental group of a class of rational cuspidal curves.