-тождества нильпотентных групп. II
Galois groups of fields of definition of solvable branched coverings
Ganzalgebraische Punkte und der Hilbertsche Irreduzibilitätssatz.
General algebraic geometry and formal concept analysis.
Generic finite schemes and Hochschild cocycles.
Géométrie algébrique de Poisson et déformations
Géométrie analytique rigide d'après Tate, Kiehl...
Géométrie formelle et géométrie algébrique
Geometry of noncommutative algebras
There has been several attempts to generalize commutative algebraic geometry to the noncommutative situation. Localizations with good properties rarely exist for noncommutative algebras, and this makes a direct generalization difficult. Our point of view, following Laudal, is that the points of the noncommutative geometry should be represented as simple modules, and that noncommutative deformations should be used to obtain a suitable localization in the noncommutative situation. Let A be an algebra...
Glatte Morphismen in der affinoiden Geometrie.
Global minimal models for endomorphisms of projective space
We prove the existence of global minimal models for endomorphisms of projective space defined over the field of fractions of a principal ideal domain.
Groupes de Chow et K-théorie de variétés sur un corps fini.
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras...
Higher Abel-Jacobi maps.
Hilbert-Samuel Polynomials of a Proper Morphism.
Homotopy theory of simplicial schemes
Indecomposable projective modules on affine domains
Injective endomorphisms of algebraic varieties.
Integrals for holomorphic foliations with singularities having all leaves compact
We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Intégration motivique sur les schémas formels
Nous généralisons la théorie de l’intégration motivique au cadre des schémas formels. Nous définissons et étudions l’anneau booléen des ensembles mesurables, la mesure motivique, l’intégrale motivique et nous démontrons un théorème de changement de variables pour cette intégrale.