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Timeline for Del Pezzo surfaces of degree $2$

Current License: CC BY-SA 3.0

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Jun 13, 2016 at 13:41 vote accept Daniel Loughran
Jun 11, 2016 at 5:34 answer added Sasha timeline score: 3
Jun 9, 2016 at 20:05 comment added Daniel Loughran This looks great! But there is still something I'm confused about: how does one view $\sqrt{B^2 - 4AC}$ (in Jason's notation) as a global section of $-2K_S$? It looks horribly undefined as written.
Jun 9, 2016 at 15:08 comment added Martin Bright Beaten to it! Yes, what Jason Starr said.
Jun 9, 2016 at 15:07 comment added Jason Starr @MartinBright. That is what I was thinking as well.
Jun 9, 2016 at 15:07 comment added Martin Bright I guess you can find $f$ up to constants because it cuts out the ramification locus of the anticanonical map. View $q$ as a quadratic form in $s,t$ with coefficients involving $x,y,z$; then its discriminant is a polynomial of degree $4$ in $x,y,z$, which is your $f$.
Jun 9, 2016 at 15:04 comment added Jason Starr Is it just the following: write $q(s,t,x,y,z) = A(x,y,z)s^2 + B(x,y,z)st + C(x,y,z)t^2$ and let $f(x,y,z)$ be $B^2-4AC$?
Jun 9, 2016 at 14:23 history asked Daniel Loughran CC BY-SA 3.0