Linear Shafarevich Conjecture

Philippe Eyssidieux (1) , L. Katzarkov (2, 3) , Tony Pantev (4) , Mohan Ramachandran (5)

1 IF - Institut Fourier
2 Department of Mathematics [Miami]
3 Fakultät für Mathematik [Wien]
4 Department of Mathematics [Philadelphia]
5 Department of Mathematics

We prove that the universal covering space of a complex projective manifold is holomorphically convex provided its fundamental group is linear.

Domaines: Géométrie algébrique [math.AG]

Philippe Eyssidieux, L. Katzarkov, Tony Pantev, Mohan Ramachandran. Linear Shafarevich Conjecture. 2009. ⟨hal-00373348⟩