Algebraic Structures on Certain 3-Folds.
Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces
Applications of the Ein-Lazarsfeld cirterion for spannedness of adjoint bundles.
Base curves of multicanonical systems on threefolds
Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ.
Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.
Let X ⊂ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant β such that for all X containing a smooth ruled surface as hyperplane section and not contained in a fourfold of degree less than or equal to 15, d ≤ β. Under some more restrictive hypothesis we prove an analogous result for threefolds containing a smooth ruled surface as hyperplane section and contained in a fourfold of degree less than or equal to 15.
Calabi-Yau manifolds and a conjecture of Kobayashi.
Calabi-Yau manifolds with large Picard number.
Calabi-Yau threefolds of quasi-product type.
Calabi-Yau threefolds with p > 13.
Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces
In this paper we give a method for calculating the rank of a general elliptic curve over the field of rational functions in two variables. We reduce this problem to calculating the cohomology of a singular hypersurface in a weighted projective -space. We then give a method for calculating the cohomology of a certain class of singular hypersurfaces, extending work of Dimca for the isolated singularity case.
Chernklassen semi-stabiler Rang-3-Vektorbündel auf kubischen Dreimannigfaltikgkeiten.
Classification des varietes coplexes projectives de dimension trois dont une section hyperplane générale est une surface d'Enriques.
Classification des variétés de dimension 3 et plus
Classification of conic bundles in
Classification of Fano 3-Folds with B2 ... 2.
Classification of logarithmic Fano threefolds
Cohomology of the boundary of Siegel modular varieties of degree two, with applications
Let 𝓐₂(n) = Γ₂(n)∖𝔖₂ be the quotient of Siegel's space of degree 2 by the principal congruence subgroup of level n in Sp(4,ℤ). This is the moduli space of principally polarized abelian surfaces with a level n structure. Let 𝓐₂(n)* denote the Igusa compactification of this space, and ∂𝓐₂(n)* = 𝓐₂(n)* - 𝓐₂(n) its "boundary". This is a divisor with normal crossings. The main result of this paper is the determination of H(∂𝓐₂(n)*) as a module over the finite group Γ₂(1)/Γ₂(n). As an application...
Compact Kähler manifolds with compactifiable universal cover
In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.
Compactifications of C2 x C*.