Vanishing Theorems for Resolutions of Surfaces Singularities.
Variation der globalen Ext in Deformationen kompakter komplexer Räume.
Variation du nombre de Lefschetz dans une famille d'automorphismes analytiques.
Variation of complex structures and variation of Lie algebras.
Variation of geometric invariant theory quotients
Variation of Hodge Structure: The Singularities of the Period Mapping.
Variation of mixed Hodge structure. I.
Variation of mixed Hodge structures arising from family of logarithmic deformations
Variation of moduli spaces and Donaldson invariants under change of polarization.
Variations de structure de Hodge et zéro-cycles sur les surfaces générales.
Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures
Let be a compact Kähler manifold, be a base point and be the monodromy representation of a -VHS. Building on Goldman–Millson’s classical work, we construct a mixed Hodge structure on the complete local ring of the representation variety at and a variation of mixed Hodge structures whose monodromy is the universal deformation of .
Variations of moduli of parabolic bundles.
Variétés de Fano
Variétés de modules alternatives
Soit une variété algébrique projective lisse irréductible. On appelle variété de modules fins de faisceaux sur une famille de faisceaux cohérents sur paramétrée par une variété intègre , possédant les propriétés suivantes : est plate sur ; pour tous distincts, les faisceaux et sur ne sont pas isomorphes et est une déformation complète de ; enfin possède une propriété universelle locale évidente. On a aussi la notion de variété de modules fins définie localement, où est...
Variétés de modules extrémales de faisceaux semi-stables sur IP2 (C).
Variétés rationnellement connexes
Vector bundles on non-Kaehler elliptic principal bundles
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.
Vector bundles on plane cubic curves and the classical Yang–Baxter equation
In this article, we develop a geometric method to construct solutions of the classical Yang–Baxter equation, attaching a family of classical -matrices to the Weierstrass family of plane cubic curves and a pair of coprime positive integers. It turns out that all elliptic -matrices arise in this way from smooth cubic curves. For the cuspidal cubic curve, we prove that the obtained solutions are rational and compute them explicitly. We also describe them in terms of Stolin’s classication and prove...
Vektorraumbündel in der Nähe von exzeptionellen Unterräumen - das Modulproblem.
Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen.