Vektorraumbündel in der Nähe von exzeptionellen Unterräumen - das Modulproblem.
Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen.
Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes.
Versions kählériennes du théorème d'annulation de Bogomolov.
We extend to compact Kaehler and Fujiki manifolds the theorem of F. Bogomolov, on vanishing of the space of holomorphic p-forms with values in a line bundle whose dual L is numerically effective, for the degrees p less than the numerical dimension of L.
Vertex algebras and the formal loop space
We construct a certain algebro-geometric version of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme of formal arcs in X as studied by Kontsevich and Denef-Loeser. We describe the chiral de Rham complex of Malikov, Schechtman and Vaintrob in terms of the space of formal distributions on supported in . We also show that possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains the heuristic...
Weak approximation and non-abellian fundamental groups
Weak positivity and the stability of certain Hilbert points.
Weak positivity and the stability of certain Hilbert points, II.
Weighted cohomology.
Weighted Gaussian maps.
Weights in cohomology and the Eilenberg-Moore spectral sequence
We show that in the category of complex algebraic varieties, the Eilenberg–Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all spaces involved have pure cohomology. As application, we compute the rational cohomology of an algebraic -variety ( being a connected algebraic group) in terms of its equivariant cohomology provided that is pure. This is the case, for example, if is smooth and has only finitely many orbits. We work in the category...
Weights in rigid cohomology applications to unipotent -isocrystals
Weights in the cohomology of toric varieties
We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
Weights of exponential sums, intersection cohomology, and Newton polyhedra.
Which 3-manifold groups are Kähler groups?
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if can be realized as both the fundamental group of a closed 3-manifold and of a compact Kähler manifold, then must be finite—and thus belongs to the well-known list of finite subgroups of , acting freely on .
Witt groups of real projective surfaces.
Zerlegungen der Picard-Gruppe nichtarchimedischer Holomorpher Räume
Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
Zéro-cycles de degré 1 sur les solides de Poonen
B. Poonen a récemment exhibé des exemples de variétés projectives et lisses de dimension 3 sur un corps de nombres qui n’ont pas de point rationnel et pour lesquelles il n’y a pas d’obstruction de Brauer–Manin après revêtement fini étale. Je montre que les variétés qu’il construit possèdent des zéro-cycles de degré 1.
Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties