This set of lectures aims to give an overview of Donaldson's theory of linear systems on
symplectic manifolds and the algebraic and geometric invariants to which they give rise …

For the Galois closure $ X_ {\textrm {gal}} $ of a generic projection from a surface $ X $, it is
believed that $\pi _1 (X_ {\textrm {gal}}) $ gives rise to new invariants of $ X $. However, in …

Let T be a complex torus, and X the surface ℂ ℙ 1× T. If T is embedded in ℂ ℙ n− 1 then X
may be embedded in ℂ ℙ 2 n− 1. Let X Gal be its Galois cover with respect to a generic …

This is the final paper in a series of four, concerning the surface 𝕋× 𝕋 embedded in ℂℙ8,
where 𝕋 is the one-dimensional torus. In this paper we compute the fundamental group of …

In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic
deformations of type E k. Using Moishezon–Teicher's algorithm, we prove that the Galois …

This paper is the second in a series. The first one describes pillow degenerations of a $ K3 $
surface with genus $ g $. In this paper we study the $(2, 2) $-pillow degeneration of a non …

In this paper we calculate fundamental groups (and some of their quotients) of complements
of four toric varieties branch curves. For these calculations, we study properties and …

As known to all, it is quite difficult to compute the fundamental group of a surface of general
type. In this paper, applying Moishezon-Teicher's algorithm, we investigate the fundamental …

Let X be the surface 𝕋× 𝕋, where 𝕋 is the complex torus. This article is the third in a series
studying the fundamental group of the Galois cover of X with respect to a generic projection …

Given a singular surface X, one can extract information on it by investigating the
fundamental group $\pi_1 (X-Sing_X) $. However, calculation of this group is non-trivial, but …