Coherent systems of genus 0 II: Existence results for k3
H. Lange, P. E. Newstead
Abstract
In this paper we continue the investigation of coherent systems of type (n,d,k) on the projective line which are stable with respect to some value of the parameter α. We work mainly with k<n and obtain existence results for arbitrary k in certain cases, together with complete results for k=3. Our methods involve the use of the "flips" which occur at critical values of the parameter.
Create a lesson
Related papers
Towards the Global Torelli Theorem
Daniil Serebrennikov
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza et al.
Proper moduli spaces of isolated non-normal singularities
Jiucheng Dai, Daniel Halpern-Leistner, Mingjun Sun et al.
Divisors in projective bundles over the projective line whose complement is affine space
Remy van Dobben de Bruyn
Numerical Godeaux Surfaces with many disjoint (-2)-curves and Applications
Yifan Chen, YongJoo Shin
Nash Loci
Luca Sodomaco, Julian Weigert