English

On a Conjecture on Linear Systems

Algebraic Geometry 2016-04-13 v2

Abstract

In a remark to Green's conjecture, Paranjape and Ramanan analyzed the vector bundle EE which is the pullback by the canonical map of the universal quotient bundle T\Ppg1(1)T_{\Pp^{g-1}}(-1) on \Ppg1\Pp^{g-1} and stated a more general conjecture and proved it for the curves with Clifford Index 11 (trigonal and plane quintic). In this paper, we state the conjecture for general linear systems and obtain the results for the case of hyperelliptic curves.

Keywords

Cite

@article{arxiv.1504.01905,
  title  = {On a Conjecture on Linear Systems},
  author = {Sonica Anand},
  journal= {arXiv preprint arXiv:1504.01905},
  year   = {2016}
}
R2 v1 2026-06-22T09:12:30.488Z