Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum.
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...