Add to ORKGWe study the existence of linear series on curves lying on an Enriques surface and general in their complete linear system. Using a method that works also below the Bogomolov–Reider range, we compute, in all cases, the gonality of such curves. We also give a new result about the positive cone of line bundles on an Enriques surface and we show how this relates to the gonality
Abstract. The classical Castelnuovo numbers count linear series of minimal degree and fixed di-mensi...
Severi varieties and Brill-Noether theory of curves on K3 surfaces are well understood. Yet, quite l...
Abstract. Under certain numerical conditions, the gonality of curves on an elliptic ruled surface is...
We study the existence of linear series on curves lying on an Enriques surface and general in their ...
Abstract. Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H1(L) ...
In this paper we compute the gonality and the dimension of the Brill-Noether loci $W^1_d(C)$ for cur...
Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H^1(L) that, unl...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
We study the Brill-Noether theory of the normalizations of singular,irreducible curves on a K3 surfa...
Abstract. A Laurent polynomial f in two variables naturally describes a projective curve C(f) on a t...
Abstract. Making suitable generalizations of known results we prove some general facts about Gaussia...
In this masterthesis we study the geometry of the points in the Brill-Noether locus. Typically, we w...
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studyin...
Brill--Noether theory studies the different projective embeddings that an algebraic curve admits. Fo...
Abstract. We discuss linear series on tropical curves and their relation to classical algebraic geom...
Abstract. The classical Castelnuovo numbers count linear series of minimal degree and fixed di-mensi...
Severi varieties and Brill-Noether theory of curves on K3 surfaces are well understood. Yet, quite l...
Abstract. Under certain numerical conditions, the gonality of curves on an elliptic ruled surface is...
We study the existence of linear series on curves lying on an Enriques surface and general in their ...
Abstract. Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H1(L) ...
In this paper we compute the gonality and the dimension of the Brill-Noether loci $W^1_d(C)$ for cur...
Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H^1(L) that, unl...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
We study the Brill-Noether theory of the normalizations of singular,irreducible curves on a K3 surfa...
Abstract. A Laurent polynomial f in two variables naturally describes a projective curve C(f) on a t...
Abstract. Making suitable generalizations of known results we prove some general facts about Gaussia...
In this masterthesis we study the geometry of the points in the Brill-Noether locus. Typically, we w...
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studyin...
Brill--Noether theory studies the different projective embeddings that an algebraic curve admits. Fo...
Abstract. We discuss linear series on tropical curves and their relation to classical algebraic geom...
Abstract. The classical Castelnuovo numbers count linear series of minimal degree and fixed di-mensi...
Severi varieties and Brill-Noether theory of curves on K3 surfaces are well understood. Yet, quite l...
Abstract. Under certain numerical conditions, the gonality of curves on an elliptic ruled surface is...