It is known that a plane projective curve D consisting of a union of degree n curves in the same pencil with a smooth base locus is free if and only if D contains all the singular members of the pencil and its Jacobian ideal is locally a complete intersection. Here we generalizes this result to pencils having a singular base locus
Abstract. Fix an integer k ≥ 2 and a smooth genus q projective curve X. Here we prove the existence ...
The thesis is made up of two parts. In the first part we generalize the Abhyankar-Moh theory to a sp...
We study the fundamental groups of the complements to curves on simply connected surfaces, admitting...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
In the present note we construct new families of free and nearly free curves starting from a plane c...
Let $C:f=0$ be a reduced curve in the complex projective plane. The minimal degree $mdr(f)$ of a Jac...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
The aim of this paper is to provide a direct link between maximizing curves that occur in the constr...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
Let C: f=0 be a reduced curve in the complex projective plane. The minimal degree mdr(f) of a Jacobi...
We consider surface singularities in arising as the total space of an equisingular deformation of an...
We consider surface singularities in arising as the total space of an equisingular deformation of an...
Abstract. Fix an integer k ≥ 2 and a smooth genus q projective curve X. Here we prove the existence ...
The thesis is made up of two parts. In the first part we generalize the Abhyankar-Moh theory to a sp...
We study the fundamental groups of the complements to curves on simply connected surfaces, admitting...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
In the present note we construct new families of free and nearly free curves starting from a plane c...
Let $C:f=0$ be a reduced curve in the complex projective plane. The minimal degree $mdr(f)$ of a Jac...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
The aim of this paper is to provide a direct link between maximizing curves that occur in the constr...
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proo...
Let C: f=0 be a reduced curve in the complex projective plane. The minimal degree mdr(f) of a Jacobi...
We consider surface singularities in arising as the total space of an equisingular deformation of an...
We consider surface singularities in arising as the total space of an equisingular deformation of an...
Abstract. Fix an integer k ≥ 2 and a smooth genus q projective curve X. Here we prove the existence ...
The thesis is made up of two parts. In the first part we generalize the Abhyankar-Moh theory to a sp...
We study the fundamental groups of the complements to curves on simply connected surfaces, admitting...
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