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math.AG2007★ 12 cited
The structure of surfaces mapping to the moduli stack of canonically polarized varieties
Stefan Kebekus, Sandor J. Kovacs
Generalizing the well-known Shafarevich hyperbolicity conjecture, it has been conjectured by Viehweg that a quasi-projective manifold that admits a generically finite morphism to t…
math.AG2007★ 1 cited
Endomorphisms of projective varieties
Marian Aprodu, Stefan Kebekus, Thomas Peternell
We study complex projective manifolds X that admit surjective endomorphisms f:X->X of degree at least two. In case f is etale, we prove structure theorems that describe X. In parti…
math.AG2007
Families of varieties of general type over compact bases
Stefan Kebekus, Sandor Kovacs
Let f: X -> Y be a smooth family of canonically polarized complex varieties over a smooth base. Generalizing the classical Shafarevich hyperbolicity conjecture, Viehweg conjectured…