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math.AG2001
Deformations of large fundamental groups
B. de Oliveira, L. Katzarkov, M. Ramachandran
A projective variety has a large fundamental group if its universal covering has no compact subvarieties. In this paper we investigate whether the property of a variety having a la…
math.AG2000
Nonabelian mixed Hodge structures
Ludmil Katzarkov, Tony Pantev, Carlos Simpson
We propose a definition of ``nonabelian mixed Hodge structure'' together with a construction associating to a smooth projective variety and to a nonabelian mixed Hodge structur…
math.AG1999
Non-abelian (p,p) classes
L. Katzarkov, T. Pantev
In this paper we generalize to the non-abelian context a classical theorem of Griffiths which studies the behavior of the -components of a horizontal section in a variation…