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http://hdl.handle.net/123456789/1982| Title: | On a conjecture on linear systems |
| Authors: | Anand, Sonika |
| Keywords: | Green’s conjecture linear systems hyper-elliptic curves |
| Issue Date: | 2017 |
| Publisher: | Indian Academy of Sciences |
| Citation: | Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 127 (3) |
| Abstract: | In a remark to Green’s conjecture, Paranjape and Ramanan analysed thevector bundleEwhich is the pullback by the canonical map of the universal quotientbundleTPg−1(−1)onPg−1and stated a more general conjecture and proved it for the curveswith Clifford Index 1 (trigonal and plane quintics). In this paper, we state the conjecturefor general linear systems and obtain results for the case of hyper-elliptic curves. |
| URI: | https://www.ias.ac.in/article/fulltext/pmsc/127/03/0431-0448 http://hdl.handle.net/123456789/1982 |
| Appears in Collections: | Research Articles |
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