On Certain Numbers Associated to Isolated Critical Points.
On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
On the Module of Zariski Differentials and Infinitesimal Deformations of Cusp Singularities.
On Zariski's theorem in positive characteristic
In the current paper we show that the dimension of a family of irreducible reduced curves in a given ample linear system on a toric surface over an algebraically closed field is bounded from above by , where denotes a general curve in the family. This result generalizes a famous theorem of Zariski to the case of positive characteristic. We also explore new phenomena that occur in positive characteristic: We show that the equality does not imply the nodality of even if belongs to the...