On deformation of maximally degenerate stable marked curves and Oda's problem.
On fundamental groups of algebraic varieties and value distribution theory
If a smooth projective variety admits a non-degenerate holomorphic map from the complex plane , then for any finite dimensional linear representation of the fundamental group of the image of this representation is almost abelian. This supports a conjecture proposed by F. Campana, published in this journal in 2004.
On projective manifolds with nef anticanonical bundles.
On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
On the Fundamental Group of self-affine plane Tiles
Let be an expanding matrix, a set with elements and define via the set equation . If the two-dimensional Lebesgue measure of is positive we call a self-affine plane tile. In the present paper we are concerned with topological properties of . We show that the fundamental group of is either trivial or uncountable and provide criteria for the triviality as well as the uncountability of . Furthermore, we give a short proof of the fact that the closure of each component of is a locally...
On the fundamental group of the complement of a divisor in a homogeneous space.
On the Fundamental Group of the Space of Cubic Surfaces.
On the fundamental groups of some open rational surfaces.
On the homotopy of the complement to plane algebraic curves.
On the irreducible components of characteristic varieties.
On the mixed Hodge structure associated to of a simply connected complex projective manifold
On the Ramification of Branched Coverings of IPn.
On the representations of the fundamental group
On the S-fundamental group scheme
We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
On three types of simplicial objects