Timeline for Branch locus of a 6:1 cover of the grassmannian G(1,3)
Current License: CC BY-SA 3.0
2 events
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| Dec 10, 2012 at 13:54 | comment | added | rita | As you point out, the branch locus $B$ is the set of tangent lines to $S$, so it is the image of the projectivized tangent bundle of $S$ via a birational maps. $B$ has a 2-dimensional double locus, corresponding to the image of the bitangent lines. Also, the map factors through the involution of $Hilb$ that maps $p,q\in S$ to the remainining 2 points on the line joining $p$ and $q$. Maybe this can help with the computation. | |
| Dec 10, 2012 at 13:20 | history | answered | IMeasy | CC BY-SA 3.0 |