Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces.
Generischer Spaltungstyp und zweite Chernklasse stabiler Vektorraumbündel vom Rang 4 auf IP4.
Geometric and categorical nonabelian duality in complex geometry
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
Geometric description of the connecting homomorphism for Witt groups.
Geometric genera for ample vector bundles with regular sections.
Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus pg(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: pg(X,E) ≥ hn-r,0(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.
Geometrically ruled surfaces as zero loci of ample vector bundles.
Géométrie formelle et géométrie algébrique
Geometry on grassmannians and applications to splitting bundles and smoothing cycles
Groupe de Picard des variétés de modules de faisceaux semi-stables sur
Le sujet de cet article est le groupe de Picard de la variété de modules des faisceaux algébriques semi-stables de rang et de classes de Chern sur . Le premier résultat est que est localement factorielle, ce qui permet d’identifier Pic et le groupe des classes d’équivalence linéaire des diviseurs de Weil de . Il existe une unique application telle que dim si et seulement si . Si on a égalité, Pic est isomorphe à , et si l’inégalité est stricte, Pic est isomorphe à . On donne ensuite...
Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques.
Harmonic gauges on Riemann surfaces and stable bundles
Hecke curves and Hitchin discriminant
Helices on some Fano threefolds : constructivity of semiorthogonal bases of
Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms.
Hilbert-Samuel Polynomials of a Proper Morphism.
Hodge filtrations and the higher direct images of canonical sheaves.
Höhere Sekantenvarietäten und Vektorbündel auf Kurven.
Holomorphe Vektorbündel auf Pn mit c1 = 0 und c2 = 1.
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Holomorphic structures in vector bundles over complex surfaces.