I read that one example of k3 surface is a double cover of $\mathbb{P}^2\mathbb{C}$ ramified over a sextic. My question is why a sextic? i believe that the sextic is isomorphic to the ramification divisor, but why is this? also how can i see that k3 surfaces realized this way are deformation equivalent? thank you
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Q1: Hurwitz formula + canonical divisor of $\mathbb P^2$. Q2: Move the curve in $\mathbb P^2$. 

