Improper intersection of analytic curves.
Improper intersections in complex analytic geometry [Book]
Improvement of Grauert-Riemenschneider's theorem for a normal surface
Let be a desingularization of a normal surface . The group Pic is provided with an order relation , defined by . for any effective exceptional divisor . Comparing to the usual order relation we define the ceiling of which is an exceptional divisor. This notion allows us to improve the usual vanishing theorem and we deduce from it a numerical criterion for rationality and a genus formula for a curve on a normal surface; the difficulty lies in the case of a Weil divisor which is not a Cartier...
Infinitesimal variations of hodge structure (I)
Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes
Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions
Integral quadratic forms : applications to algebraic geometry
Intégration sur un cycle évanescent.
Intersection cohomology complexes on a reductive group.
Intersection form for quasi-homogeneous singularities
Intersection Homology II.
Intersection homology ...-module on local complete intersections with isolated singularities.
Intersection Multiplicities in Commutative Algebra
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 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.
Intersection theory on algebraic stacks and on their moduli spaces.