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Results tagged with k3-surfaces
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user 439
Questions about K3 surfaces, which are smooth complex surfaces $X$ with trivial canonical bundle and vanishing $H^1(O_X)$. They are examples of Calabi-Yau varieties of dimension $2$.
3
votes
Accepted
Genus two pencil in K3 surface
You will get such a pencil of genus two curves provided that the base point of the pencil of lines is not one of the nine points that you blew up to get your $E(1)$.
But if the goal was to construct …
- 6,239
5
votes
Question on K3 Surface
Do you want your K3 to be smooth? In that case the answer is no. For the double cover to have a trivial canonical class you will have to chose a branch divisor which is a section in half of the anti-c …
- 6,239
5
votes
Singular K3 -- mathematical meaning?
I am not completely sure what the question is here so let me say something about the picture in general. There is no "vanishing K3" in Vafa's description. The singular K3 geometry that Vafa is talking …
- 6,239