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*.
Compactifications of C3. I.
Compactifications of C3. II.
Compactifications of C³. II. (Corrigendum).
Compactifications of C3, III.
Complex analytic compactifications of C3
Contractions of smooth varieties. II. Computations and applications
Una contrazione su una varietà proiettiva liscia è data da una mappa propria, suriettiva e a fibre connesse in una varietà irriducibile normale . La contrazione si dice di Fano-Mori se inoltre è -ampio. Nel lavoro, naturale seguito e completamento delle ricerche introdotte in [A-W3], si studiano diversi aspetti delle contrazioni di Fano-Mori attraverso esempi (capitolo 1) e teoremi di struttura (capitoli 3 e 4). Si discutono anche alcune applicazioni allo studio di morfismi birazionali propri...