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Nick L
Nick L
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Let $k=\mathbb{C}$. Call a smooth projective surface $X$ an anti-canonical divisor if there is a smooth projective $3$-fold $Y$ with a section of $s \in H^{0}(Y,-K_{Y})$ such that $\{s=0\} \cong X$.

Question: Are anti-canonical divisors classified?

I asked this on math stack exchange 7 months ago with no answer (https://math.stackexchange.com/questions/3311295/smooth-surfaces-appearing-as-an-anticanonical-section) so I ask it here.

Let $k=\mathbb{C}$. Call a smooth projective surface $X$ an anti-canonical divisor if there is a smooth projective $3$-fold $Y$ with a section of $s \in H^{0}(Y,-K_{Y})$ such that $\{s=0\} \cong X$.

Question: Are anti-canonical divisors classified?

I asked this on math stack exchange 7 months ago with no answer (https://math.stackexchange.com/questions/3311295/smooth-surfaces-appearing-as-an-anticanonical-section) so I ask it here.

Let $k=\mathbb{C}$. Call a smooth projective surface $X$ an anti-canonical divisor if there is a smooth projective $3$-fold $Y$ with a section $s \in H^{0}(Y,-K_{Y})$ such that $\{s=0\} \cong X$.

Question: Are anti-canonical divisors classified?

I asked this on math stack exchange 7 months ago with no answer (https://math.stackexchange.com/questions/3311295/smooth-surfaces-appearing-as-an-anticanonical-section) so I ask it here.

Source Link
Nick L
Nick L
  • 7k
  • 1
  • 15
  • 41

anticanonical divisors

Let $k=\mathbb{C}$. Call a smooth projective surface $X$ an anti-canonical divisor if there is a smooth projective $3$-fold $Y$ with a section of $s \in H^{0}(Y,-K_{Y})$ such that $\{s=0\} \cong X$.

Question: Are anti-canonical divisors classified?

I asked this on math stack exchange 7 months ago with no answer (https://math.stackexchange.com/questions/3311295/smooth-surfaces-appearing-as-an-anticanonical-section) so I ask it here.