On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the homotopy of the complement to plane algebraic curves.
On the Horizontal Base Locus of Multiples of Tautological Sheaves of Projectived Cotangent Bundles, II.
On the Hurwitz scheme and its monodromy
On the hypersurfaces containing a general projective curve
On the implicit function theorem in o-minimal structures
A local-global version of the implicit function theorem in o-minimal structures and a generalization of the theorem of Wilkie on covering open sets by open cells are proven.
On the index of contact
We use the construction of the intersection product of two algebraic cones to prove that the multiplicity of contact of the cones at the vertex is equal to the product of their degrees. We give an example to show that in order to calculate the index of contact it is not sufficient to perform the analytic intersection algorithm with hyperplanes.
On the index theorem for -adic differential equations. III. (Sur le théorème de l'indice des équations différentielles -adiques. III.)
On the Induced h-Structure on an Open Subset of the Rigid Analytic Space IPl (k) .
On the infinite fern of Galois representations of unitary type
Let be a CM number field, an odd prime totally split in , and let be the -adic analytic space parameterizing the isomorphism classes of -dimensional semisimple -adic representations of satisfying a selfduality condition “of type ”. We study an analogue of the infinite fern of Gouvêa-Mazur in this context and show that each irreducible component of the Zariski-closure of the modular points in has dimension at least . As important steps, and in any rank, we prove that any first order...
On the Infinitesimal Torelli Theorem for Certain irregular Surfaces of General Type.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field (Correction).
On the inseparable degrees of the Gauss map and the projection of the conormal variety to the dual fo higher order for space curves.
On the intersection multiplicity of images under an etale morphism
We present a formula for the intersection multiplicity of the images of two subvarieties under an etale morphism between smooth varieties over a field k. It is a generalization of Fulton's Example 8.2.5 from [3], where a strong additional assumption has been imposed. In a special case where the base field k is algebraically closed and a proper component of the intersection is a closed point, intersection multiplicity is an invariant of etale morphisms. This corresponds with analytic geometry where...
On the intersection multiplicity of improper components in algebraic geometry
On the intersection of modular correspondences.
On the intersection of three quadrics.
On the intersection product of analytic cycles
We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).