I punti delle ipersuperficie cubiche irriducibili di come sottoinsieme intersezione completa
Ideal as an intersection of zero-dimensional ideals and the Noether exponent.
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...
Indecomposable Cohen-Macaulay modules and irreducible maps
Index invariants of orbit spaces.
Indice de Clifford des intersections complètes de l'espace
Indices of 1-forms and Newton polyhedra.
A formula of Matsuo Oka (1990) expresses the Milnor number of a germ of a complex analytic map with a generic principal part in terms of the Newton polyhedra of the components of the map. In this paper this formula is generalized to the case of the index of a 1-form on a local complete intersection singularity (Theorem 1.10, Corollaries 1.11, 4.1). In particular, the Newton polyhedron of a 1-form is defined (Definition 1.6). This also simplifies the Oka formula in some particular cases (Propositions...
Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions
Inner projections of algebraic surfaces: a finiteness result.
Integral formulas for the -equation on complex projective algebraic manifolds
Intégration de classes de cohomologie méromorphes et diviseurs d'incidence
Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of...
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 Multiplicities in Commutative Algebra
Intersections of two quadrics and Chatelet surfaces. II.
Intersections of two quadrics and Chatelet surfaces.I.
Introduction to actions of algebraic groups
These notes present some fundamental results and examples in the theory of algebraic group actions, with special attention to the topics of geometric invariant theory and of spherical varieties. Their goal is to provide a self-contained introduction to more advanced lectures.
Invariant subrings of ... [X, Y, Z] which are complete intersections.
Invariant Subvarieties of Toric Varieties Which are Local Complete Intersections.
Invariant theory for linear algebraic groups II (char k arbitrary)