Variétés de modules extrémales de faisceaux semi-stables sur IP2 (C).
Variétés toriques et polytopes
Variétés unirationnelles non rationnelles: au-delà de l'example d'Artin et Mumford.
Varieties Dominated by Cn.
Varieties in positive characteristic with trivial tangent bundle
Varieties Proper over Affine Schemes.
Varieties whose hyperplane section are bundles
Vector bundles and low-codimensional submanifolds of projective space: a problem list
Vector Bundles on Abelian Surfaces.
Vector Bundles on Cones over Projective Schemes.
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...
Vector Bundles on Projective 3-Space.
Vector bundles on the cone over a curve
Vector Bundles over Affine Surfaces.
Vector bundles over real algebraic surfaces and threefolds
Vector Fields and Chern Numbers.
Vector spaces of matrices of low rank and vector bundles on projective spaces: An addendum to a paper by Eisenbud and Harris.
Vektorbündel auf Kurven mit Singularitäten.
Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe.