Solution
= Solution
The <canonical bundle> of a <K3 surface> is trivial, so $c_1(TX)=0$. Apply the <adjunction formula> with $g=3$:
$$
\boxed{\Sigma\cdot\Sigma=2\cdot3-2=4.}
$$
This is the <Self-intersection of a smooth curve on a K3 surface>.
= Solution
The <canonical bundle> of a <K3 surface> is trivial, so $c_1(TX)=0$. Apply the <adjunction formula> with $g=3$:
$$
\boxed{\Sigma\cdot\Sigma=2\cdot3-2=4.}
$$
This is the <Self-intersection of a smooth curve on a K3 surface>.