Add to ORKGWe explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studying the lifting of linear systems on curves in polarized K3 surfaces, which motivates a conjecture identifying the maximal Brill-Noether loci with respect to containment. Via an analysis of the stability of Lazarsfeld-Mukai bundles, we obtain new lifting results for linear systems of rank 3 which suffice to prove the maximal Brill-Noether loci conjecture in genus 9-19, 22, and 23.Comment: 29 pages, 1 figure. Comments welcome
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
Brill--Noether theory studies the different projective embeddings that an algebraic curve admits. Fo...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
In this paper we compute the gonality and the dimension of the Brill-Noether loci $W^1_d(C)$ for cur...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
The paper is devoted to highlighting several novel aspects of the moduli space of curves of genus 13...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
Brill--Noether theory studies the different projective embeddings that an algebraic curve admits. Fo...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of ra...
In this paper we compute the gonality and the dimension of the Brill-Noether loci $W^1_d(C)$ for cur...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
The paper is devoted to highlighting several novel aspects of the moduli space of curves of genus 13...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coher...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...
In this paper we study examples of P(r)-scrolls defined over primitively polarized K3 surfaces S of ...