Fanography

blowup of 1-11 in an elliptic curve which is the intersection of two divisors from half the anticanonical linear system

double cover of 2-34 with branch locus a $(2,4)$-divisor

blowup of 1-12 in an elliptic curve which is the intersection of two divisors from half the anticanonical linear system

blowup of 1-17 in the intersection of two cubics

alternative

$(1,3)$-divisor on $\mathbb{P}^1\times\mathbb{P}^3$

blowup of 1-13 in a plane cubic

1. $(2,2)$-divisor on $\mathbb{P}^2\times\mathbb{P}^2$
2. double cover of 2-32 with branch locus an anticanonical divisor

blowup of 1-16 in the intersection of two divisors from $|\mathcal{O}_Q(2)|$

1. double cover of 2-35 with branch locus an anticanonical divisor such that the intersection with the exceptional divisor is smooth
2. double cover of 2-35 with branch locus an anticanonical divisor such that the intersection with the exceptional divisor is singular but reduced

complete intersection of degree $(1,1)$ and $(2,1)$ in $\mathbb{P}^3\times\mathbb{P}^2$

alternative

blowup of 1-17 in a curve of degree 7 and genus 5, which is an intersection of 3 cubics

blowup of 1-14 in an elliptic curve which is an intersection of 2 hyperplanes

blowup of 1-13 in a line

intersection of 3 $(1,1)$-divisors in $\mathbb{P}^3\times\mathbb{P}^3$

alternative

blowup of 1-17 in a curve of degree 6 and genus 3 which is an intersection of 4 cubics

blowup of 1-16 in a curve of degree 6 and genus 2

blowup of 1-15 in an elliptic curve which is an intersection of 2 hyperplanes

1. blowup of 1-17 in the intersection of a quadric and a cubic where the quadric is smooth
2. blowup of 1-17 in the intersection of a quadric and a cubic where the quadric is singular but reduced

blowup of 1-14 in a conic

blowup of 1-16 in an elliptic curve of degree 5

double cover of 2-34 with branch locus a divisor of degree $(2,2)$

blowup of 1-14 in a line

blowup of 1-15 in a twisted cubic

blowup of 1-16 in a twisted quartic

blowup of 1-15 in a conic

1. blowup of 1-16 in an intersection of $A\in|\mathcal{O}_Q(1)|$ and $B\in|\mathcal{O}_Q(2)|$ such that $A$ is smooth
2. blowup of 1-16 in an intersection of $A\in|\mathcal{O}_Q(1)|$ and $B\in|\mathcal{O}_Q(2)|$ such that $A$ is singular

divisor on $\mathbb{P}^2\times\mathbb{P}^2$ of bidegree $(1,2)$

blowup of 1-17 in an elliptic curve which is an intersection of 2 quadrics

alternative

$(1,2)$-divisor on $\mathbb{P}^1\times\mathbb{P}^3$

blowup of 1-15 in a line

blowup of 1-17 in a twisted cubic

blowup of 1-17 in a plane cubic

blowup of 1-16 in a conic

blowup of 1-17 in a conic

blowup of 1-16 in a line

divisor on $\mathbb{P}^2\times\mathbb{P}^2$ of bidegree $(1,1)$

alternative

$\mathbb{P}(\mathrm{T}_{\mathbb{P}^2})$

the complete flag variety for $\mathbb{P}^2$

blowup of 1-17 in a line

$\mathbb{P}^1\times\mathbb{P}^2$

$\mathrm{Bl}_p\mathbb{P}^3$

alternative

$\mathbb{P}(\mathcal{O}_{\mathbb{P}^2}\oplus\mathcal{O}_{\mathbb{P}^2}(1))$

$\mathbb{P}(\mathcal{O}_{\mathbb{P}^2}\oplus\mathcal{O}_{\mathbb{P}^2}(2))$