Timeline for Existence of nodal curves in a linear system
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2013 at 5:51 | comment | added | M P | I do not have a reference, but I think that this is an example of the del Pezzo surfaces I have in mind: the wieghted sextic surface with equation $z^2+w^3=x^6+y^6$ in weighted projective space P(3,2,1,1). | |
| Jul 22, 2013 at 0:54 | comment | added | Gunnar Þór Magnússon | @M P: Do you have a reference? Actually I'd be perfectly fine with those singularities too. I want the singularities to lower the geometric genus of curves in a given linear system, so any kinds of singularities are fine as long as we can estimate the sum $\sum d(d-1)/2$ of their multiplicities $d$. | |
| Jul 21, 2013 at 22:40 | comment | added | M P | There are del Pezzo surfaces of degree one whose singular anticanonical sections are all cuspidal: in this case, there are no nodal elements in this linear system. | |
| Jul 21, 2013 at 9:07 | answer | added | Francesco Polizzi | timeline score: 3 | |
| Jul 21, 2013 at 0:11 | history | asked | Gunnar Þór Magnússon | CC BY-SA 3.0 |