Darstellbarkeitskriterien für analytische Funktoren
Das Spektrum torsionsfreier Garben I.
Decomposability criterion for linear sheaves
We establish a decomposability criterion for linear sheaves on ℙn. Applying it to instanton bundles, we show, in particular, that every rank 2n instanton bundle of charge 1 on ℙn is decomposable. Moreover, we provide an example of an indecomposable instanton bundle of rank 2n − 1 and charge 1, thus showing that our criterion is sharp.
Deformations of border bases
Deformations of Principal Bundles on the Projective Line.
Deformations of ruled surfaces.
Degenerate Symplectic and Orthogonal Bundles an IP1.
Degenerations of moduli of stable bundles over algebraic curves
Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space
The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.
Deux composantes du bord de
Nous étudions deux nouvelles composantes irréductibles du bord de la variété des instantons de degré 3. Nous décrivons grâce aux transformations cubo-cubiques involutives déduites de la monade de Beilinson (ce sont des transformations de Cremona particulières). Nous exhibons alors les deux composantes du bord par dégénérescence sur les transformations. Nous mettons en évidence la dualité qui les lie : les transformations cubo-cubiques de l’une sont les inverses de l’autre. Nous décrivons en...
Die Modulräume 3MstIP3 (?2,3,c3) .
Die Singularitäten der Modulmannigfaltigkeit ...(n) der stabilen Kurven vom Geschlecht g...2 mit n-Teilungspunktstruktur.
Diffeomorphism types of elliptic surfaces with pg=1.
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves