Interpolation p-adique des dérivées logarithmiques et fonctions L p-adiques associées à des courbes elliptiques à multiplication complexe.
Intersecting a plane with algebraic subgroups of multiplicative groups
Consider an arbitrary algebraic curve defined over the field of all algebraic numbers and sitting in a multiplicative commutative algebraic group. In an earlier article from 1999 bearing almost the same title, we studied the intersection of the curve and the union of all algebraic subgroups of some fixed codimension. With codimension one the resulting set has bounded height properties, and with codimension two it has finiteness properties. The main aim of the present work is to make a start on such...
Intersection cohomology complexes on a reductive group.
Intersection cohomology of reductive varieties
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
Intersection de courbes et de sous-groupes et problèmes de minoration de hauteur dans les variétés abéliennes C.M.
Nous prouvons un cas particulier de la conjecture suivante e Zilber-Pink, conjecture généralisant celle de Manin-Mumford : soit une courbe incluse dans une variété abélienne sur , qui n’est pas incluse dans une sous-variété de torsion ; l’intersection de avec la réunion de tous les sous-groupes de codimension au moins 2 est finie. Nous démontrons ici le cas où est une puissance d’une variété abélienne C.M. simple. La preuve reprend la stratégie de Rémond (suivant Bombieri-Masser-Zannier)...
Intersection form for quasi-homogeneous singularities
Intersection Homology II.
Intersection homology ...-module on local complete intersections with isolated singularities.
Intersection lattices and topological structures of complements of arrangements in
Intersection Multiplicities in Commutative Algebra
Intersection Numbers for Quotients of the Complex 2-Ball and Hilbert Modular Forms.
Intersection numbers of curves on Hilbert modular surfaces
Intersection Numbers of Curves on Hilbert Modular Surfaces and Modular Forms of Nebentypus.
Intersection Numbers of Sections of Elliptic Surfaces.
Intersection of analytic curves
We give a relation between two theories of improper intersections, of Tworzewski and of Stückrad-Vogel, for the case of algebraic curves. Given two arbitrary quasiprojective curves V₁,V₂, the intersection cycle V₁ ∙ V₂ in the sense of Tworzewski turns out to be the rational part of the Vogel cycle v(V₁,V₂). We also give short proofs of two known effective formulae for the intersection cycle V₁ ∙ V₂ in terms of local parametrizations of the curves.
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface.
Intersection rings of spaces of triangles
Intersection theory and separation exponent in complex analytic geometry
We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.
Intersection theory in complex analytic geometry
We present a construction of an intersection product of arbitrary complex analytic cycles based on a pointwise defined intersection multiplicity.
Intersection Theory of Projective Linear Spaces.