Timeline for General curves of genus 3 as plane sections of Kummer surfaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 21, 2013 at 12:42 | comment | added | user37622 | Yes, I meant generically finite. | |
| Aug 20, 2013 at 1:49 | comment | added | roy smith | I am confused. Verra (p.434, lines 27-28) seems to say the map from the dual P^3 to the fiber of the Prym map is constant on orbits of the action of the group G of points of order 2 of the abelian surface on the system |2.(Theta)|, hence the map to M(3) would seem never to be of degree one. Did I misunderstand this? The images under the finite map R(3)-->M(3) however would always seem to be three dimensional. | |
| Aug 18, 2013 at 19:38 | comment | added | Serge Lvovski | Sorry, do you really mean «generically injective»? If a quartic has automorphisms, then the mapping in question from $(\mathbb P^3)^*$ to $M_3$ cannot be generically injective. Did you actually mean «has 3-dimensional image»? | |
| Aug 18, 2013 at 19:30 | comment | added | Serge Lvovski | Thank you, interesting indeed. Is this problem open even for the case of smooth quartics? | |
| Aug 18, 2013 at 18:45 | history | answered | user37622 | CC BY-SA 3.0 |