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Results tagged with algebraic-surfaces
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user 439
An algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a smooth manifold.
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
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