Green’s canonical syzygy conjecture for generic curves of odd genus
نویسنده
چکیده
The direction ⇒ is proved by Green and Lazarsfeld in the appendix to [3]. The case p = g−2 of the conjecture is equivalent to Noether’s theorem, and the case p = g−3 to Petri’s theorem (see [5]). The case p = g − 4 has been proved in any genus by Schreyer [9] and by the author [13] for g > 10. More recently, the conjecture has been studied in [11], [12], for generic curves of fixed gonality. Teixidor proves the following
منابع مشابه
Green ’ s canonical syzygy conjecture for generic curves of odd genus Claire Voisin
The direction ⇒ is proved by Green and Lazarsfeld in the appendix to [4]. The case p = g − 2 of the conjecture is equivalent to Noether’s theorem, and the case p = g − 3 to Petri’s theorem (see [6]). The case p = g − 4 has been proved in any genus by Schreyer [10] and by the author [13] for g > 10. More recently, the conjecture has been studied in [11], [12], for generic curves of fixed gonalit...
متن کاملm at h . A G ] 1 6 M ay 2 00 3 Green ’ s canonical syzygy conjecture for generic curves of odd genus Claire Voisin
The direction ⇒ is proved by Green and Lazarsfeld in the appendix to [3]. The case p = g − 2 of the conjecture is equivalent to Noether’s theorem, and the case p = g − 3 to Petri’s theorem (see [5]). The case p = g − 4 has been proved in any genus by Schreyer [9] and by the author [12] for g > 10. More recently, the conjecture has been studied in [10], [11], for generic curves of fixed gonality...
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