Syzygies of 5-gonal canonical curves
Documenta mathematica, Tome 20 (2015), pp. 1055-1069
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We show that for 5-gonal curves of odd genus g≥13 and even genus g≥28 the ⌈2g−1​⌉-th syzygy module of the curve is not determined by the syzygies of the scroll swept out by the special pencil of degree 5.
DOI : 10.4171/dm/513
Classification : 13D02, 14H51
Mots-clés : syzygies, canonical curves, gonality, special divisor
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     author = {Christian Bopp},
     title = {Syzygies of 5-gonal canonical curves},
     journal = {Documenta mathematica},
     pages = {1055--1069},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/513},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/513/}
}
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Christian Bopp. Syzygies of 5-gonal canonical curves. Documenta mathematica, Tome 20 (2015), pp. 1055-1069. doi: 10.4171/dm/513

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