Timeline for Are curves with maximal Clifford index Brill-Noether general?
Current License: CC BY-SA 3.0
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| Dec 12, 2015 at 18:55 | comment | added | abx | Of course this depends on your definition of Brill-Noether general; I took the most commonly used one, which asks that the variety $G^r_d$ of $g^r_d$'s is smooth of the expected dimension. In my example $G^1_3$ is not smooth -- actually not reduced. If you ask only for the dimension to be the expected one, the first counter-example is given by double covering of elliptic curves in genus 6. | |
| Dec 12, 2015 at 6:28 | comment | added | Heitor | Dear abx, thank you for your answer. Could you explain me why having a unique $g^1_3$ whose double is $K_C$ prevents $C$ to be Brill-Noether general? | |
| Dec 10, 2015 at 16:12 | history | answered | abx | CC BY-SA 3.0 |