Timeline for Complete curves in $M_g$ and Theta Characteristics
Current License: CC BY-SA 3.0
4 events
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| May 1, 2013 at 21:14 | comment | added | Philip Engel | Thanks for the reference, this is exactly what I was looking for. | |
| May 1, 2013 at 13:10 | comment | added | naf | The Picard group of $M_g$ is known to be isomorphic to $\mathbb{Z}$ for $g \geq 3$ by a theorem of Harer and it is also known (you can search papers of Farkas for a precise reference, I don't recall one right now) that the class of the locus of effective even theta characteristics is non-zero in this group. It follows that there can be no complete curves in the complement of this locus. | |
| May 1, 2013 at 12:28 | history | edited | user9072 |
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| Apr 30, 2013 at 10:25 | history | asked | Philip Engel | CC BY-SA 3.0 |