Internal reconstruction of unit-root -crystals via expansion-coefficients. With an appendix by Luc Illusie
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 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 pairings in moduli spaces of holomorphic bundles on a Riemann surface.
Intersection Theory of Projective Linear Spaces.
Intersection theory on algebraic stacks and on their moduli spaces.
Intersections sur des courbes modulaires.
Invariant differential operators on symplectic Grassmann manifolds.
Invariante Differentiale bei der Operation einer endlichen zyklischen Gruppe.
Invariante Divisoren und Schnitthomologie von torischen Varietäten
In this article, we complete the interpretation of groups of classes of invariant divisors on a complex toric variety X of dimension n in terms of suitable (co-) homology groups. In [BBFK], we proved the following result (see Satz 1 below): Let and denote the groups of classes of invariant Cartier resp. Weil divisors on X. If X is non degenerate (i.e., not equivariantly isomorphic to the product of a toric variety and a torus of positive dimension), then the natural homomorphisms and are...
Invariants symétriques et fibrés vectoriels sur les courbes.
Invariants, torsion indices and oriented cohomology of complete flags
Let be a split semisimple linear algebraic group over a field and let be a split maximal torus of . Let be an oriented cohomology (algebraic cobordism, connective -theory, Chow groups, Grothendieck’s , etc.) with formal group law . We construct a ring from and the characters of , that we call a formal group ring, and we define a characteristic ring morphism from this formal group ring to where is the variety of Borel subgroups of . Our main result says that when the torsion index...
Invertible ideals in real holomorphy rings.
Irreducibility of the Space of Mathematical Instanton Bundles with Rank 2 and c2 = 4.
Jacobian discrepancies and rational singularities
Inspired by several works on jet schemes and motivic integration, we consider an extension to singular varieties of the classical definition of discrepancy for morphisms of smooth varieties. The resulting invariant, which we call , is closely related to the jet schemes and the Nash blow-up of the variety. This notion leads to a framework in which adjunction and inversion of adjunction hold in full generality, and several consequences are drawn from these properties. The main result of the paper...
Jacobians and differents of projective varieties.