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arXiv · 1504.01905

On a Conjecture on Linear Systems

Sonica Anand
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Abstract

In a remark to Green's conjecture, Paranjape and Ramanan analyzed the vector bundle $E$ which is the pullback by the canonical map of the universal quotient bundle $T_{\Pp^{g-1}}(-1)$ on $\Pp^{g-1}$ and stated a more general conjecture and proved it for the curves with Clifford Index $1$ (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.

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Sonica Anand. 2015-04-08. On a Conjecture on Linear Systems. https://arxiv.org/abs/1504.01905

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