On a characterization of an abelian variety in the classification theory of algebraic varieties
On degenerate secant varieties of secant defect two.
On extremal rays of the higher dimensional varieties.
On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
On projective toric varieties whose defining ideals have minimal generators of the highest degree
It is known that generators of ideals defining projective toric varieties of dimension embedded by global sections of normally generated line bundles have degree at most . We characterize projective toric varieties of dimension whose defining ideals must have elements of degree as generators.
On some special Fano manifolds.
On the adjunction theoretic classification of polarized varieties.
On the discriminant locus of an ample and spanned line bundle.
On the discriminant variety of a projective manifold.
On the Griffiths group of the cubic sevenfold.
On the l-adic cohomology of Siegel threefolds.
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the non-existence of Kähler structures on certain closed and oriented differentiable 6-manifolds.
Orbifolds, special varieties and classification theory
This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected Kähler...
Orbifolds, special varieties and classification theory: an appendix
For any compact Kähler manifold and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in , the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of given in the previous paper of this fascicule, as well as in many other questions.