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.
Versal Deformations and Algebraic Stacks.
Weak positivity and the stability of certain Hilbert points, III.
Weak positivity and the stability of certain Hilbert points.
Weak positivity and the stability of certain Hilbert points, II.
Weierstrass points and moduli of curves
Weierstrass points on trigonal curves of genus five
Werte hypergeometrischer Funktionen.
Which weakly ramified group actions admit a universal formal deformation?
Consider a representation of a finite group as automorphisms of a power series ring over a perfect field of positive characteristic. Let be the associated formal mixed-characteristic deformation functor. Assume that the action of is weakly ramified, i.e., the second ramification group is trivial. Example: for a group action on an ordinary curve, the action of a ramification group on the completed local ring of any point is weakly ramified.We prove that the only such that are not pro-representable...
Wild ramification of moduli spaces for curves or for abelian varieties
Zur Kohomologietheorie Rigid analytischer Räume.
Λ-modules and holomorphic Lie algebroid connections
Let X be a complex smooth projective variety, and G a locally free sheaf on X. We show that there is a one-to-one correspondence between pairs (Λ, Ξ), where Λ is a sheaf of almost polynomial filtered algebras over X satisfying Simpson’s axioms and is an isomorphism, and pairs (L, Σ), where L is a holomorphic Lie algebroid structure on and Σ is a class in F 1 H 2(L, ℂ), the first Hodge filtration piece of the second cohomology of L. As an application, we construct moduli spaces of semistable...
-constant monodromy groups and marked singularities
-constant families of holomorphic function germs with isolated singularities are considered from a global perspective. First, a monodromy group from all families which contain a fixed singularity is studied. It consists of automorphisms of the Milnor lattice which respect not only the intersection form, but also the Seifert form and the monodromy. We conjecture that it contains all such automorphisms, modulo . Second, marked singularities are defined and global moduli spaces for right equivalence...
Гладкие деформации приведенных кривых
Деформации модификаций алгебраических пространств
Инвариаты и категорное частное.