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Jan 26, 2011 at 9:23 comment added Francesco Polizzi @Artie: you are right. I was thinking in genus $\geq 2$, since $\mathbb{P}^1$ has no moduli and any genus $1$ curve is a double cover of $\mathbb{P}^1$ branched in four points. I fixed the answer, thank you.
Jan 26, 2011 at 9:21 history edited Francesco Polizzi CC BY-SA 2.5
added 45 characters in body
Jan 26, 2011 at 9:12 comment added user5117 Minor nitpick: "recall that the linear system |3K_X| is always very ample" --- except for genus 0 or 1.
Jan 25, 2011 at 22:35 history edited Francesco Polizzi CC BY-SA 2.5
added 40 characters in body
Jan 25, 2011 at 22:29 history edited Francesco Polizzi CC BY-SA 2.5
added 640 characters in body
Jan 25, 2011 at 21:52 history edited Francesco Polizzi CC BY-SA 2.5
added 26 characters in body
Jan 25, 2011 at 21:46 history edited Andy Putman CC BY-SA 2.5
Fixed spelling of my last name
Jan 25, 2011 at 21:43 vote accept skupers
Jan 25, 2011 at 21:40 history answered Francesco Polizzi CC BY-SA 2.5