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math.AG2000
Projective bundles of singular plane cubics
Stefan Kebekus
Classification theory and the study of projective varieties which are covered by rational curves of minimal degrees naturally leads to the study of families of singular rational cu…
math.AG2000
Uniqueness of complex contact structures
Stefan Kebekus
Let X be a complex Fano-manifolds with second Betti-number 1 which carries a contact structure. It follows from previous work that such a manifold can always be covered by lines. T…
math.AG2000
Families of singular rational curves
Stefan Kebekus
Let X be a projective variety which is covered by a family of rational curves of minimal degree. The classic bend-and-break argument of Mori asserts that if x and y are two general…