Über Deformationen von analytischen Abbildungskeimen.
Über den Modul-Raum für stabile 2-Vektor-Bündel über P3 mit c1 = -1, c2 =2.
Über den Raum der kompakten Riemannschen Flächen vom Geschlecht 2.
Über den trivialen Ort von Deformationen komplexer Strukturen.
Über die Deformation isolierter Singularitäten analytischer Mengen.
Über die Deformationen von Vektorraumbündeln auf kompakten komplexen Räumen.
Über die Dimension des singulären Ortes des Modulraumes Mg.
Über die Existenz von maximalen modularen Unterkeimen und lokalen Modulräumen in der komplexen Analysis.
Über die Starrheit der n-Jacobi-Struktur.
Unfoldings of foliations with multiform first integrals
Let be a codim 1 local foliation generated by a germ of the form for some complex numbers and germs of holomorphic functions at the origin in . We determine, under some conditions, the set of equivalence classes of first order unfoldings and construct explicitly a universal unfolding of . Special cases of this include foliations with holomorphic or meromorphic first integrals. We also show that the unfolding theory for is equivalent to the unfolding theory for the multiform function...
Unfoldings of holomorphic foliations.
The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.
Unfoldings of Meromorphic Functions.
Uniquely ergodic quadratic differentials.
Universal extensions and -adic periods of elliptic curves
Universal isomonodromic deformations of meromorphic rank 2 connections on curves
We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes...
Universal Teichmüller space and Fourier series.
Untervarietäten der Sieglschen Modulmannigfaltigkeiten von allgemeinem Typ.