Add to ORKGInternational audienceWe study fourfolds with trivial canonical bundle which are zero loci of sections of homogeneous, completely reducible bundles over ordinary and classical complex Grassmannians. We prove that the only HyperKähler fourfolds among them are the example of Beauville and Donagi, and the example of Debarre and Voisin. In doing so, we give a complete classification of those varieties. We include also the analogous classification for surfaces and threefolds
There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recen...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at lea...
We use hyperbolic geometry to construct simply connected symplectic or complex manifolds with trivia...
We construct examples of surfaces of general type with = 1, = 0 and 2 = 6. We use as key varieties...
We construct examples of non-isotrivial algebraic families of smooth complex projective curves over ...
International audienceKüchle classified the Fano fourfolds that can be obtained as zero loci of glob...
One of the main research programs in Algebraic Geometry is the classification of varieties. Towards ...
We present in this thesis three results. In Chapter 2 we prove the existence of a canonical zero-cyc...
After a quick review of the Picard variety and Brill-Noether theory, we generalize them to holomorph...
Let E be an ample vector bundle of rank n-2 on a complex projective manifold X of dimension n, havin...
Let E be an ample vector bundle of rank r \geq 2 on a compact complex manifold X of dimension n=r+2,...
C. H. Clemens has shown that homologically trivial codimension two cycles on a general hypersurface ...
Abstract. We consider minimal compact complex surfaces S with Betti numbers b1 = 1 and n = b2> 0....
Let X be a complex projective manifold of dimension n and let E be an ample vector bundle of rank r ...
There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recen...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at lea...
We use hyperbolic geometry to construct simply connected symplectic or complex manifolds with trivia...
We construct examples of surfaces of general type with = 1, = 0 and 2 = 6. We use as key varieties...
We construct examples of non-isotrivial algebraic families of smooth complex projective curves over ...
International audienceKüchle classified the Fano fourfolds that can be obtained as zero loci of glob...
One of the main research programs in Algebraic Geometry is the classification of varieties. Towards ...
We present in this thesis three results. In Chapter 2 we prove the existence of a canonical zero-cyc...
After a quick review of the Picard variety and Brill-Noether theory, we generalize them to holomorph...
Let E be an ample vector bundle of rank n-2 on a complex projective manifold X of dimension n, havin...
Let E be an ample vector bundle of rank r \geq 2 on a compact complex manifold X of dimension n=r+2,...
C. H. Clemens has shown that homologically trivial codimension two cycles on a general hypersurface ...
Abstract. We consider minimal compact complex surfaces S with Betti numbers b1 = 1 and n = b2> 0....
Let X be a complex projective manifold of dimension n and let E be an ample vector bundle of rank r ...
There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recen...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at lea...