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Dec 13, 2021 at 13:36 comment added user505117 Example 1.1 from the paper is: a complex K3 surface X which has a Jacobian fibration and whose Neron–Severi lattice is prescribed. How do I know such a K3 surface exists? Also, it seems to follow from the first paragraph in section 11.5.3 in Hubrechts: Lectures on K3 surfaces that this K3 surface is algebraic. Is there a description of this K3 surface as an algebraic variety? (I come from a different field so don't know much about algebraic geometry as a whole.)
Dec 13, 2021 at 9:57 history edited Francesco Polizzi CC BY-SA 4.0
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Dec 13, 2021 at 9:52 history answered Francesco Polizzi CC BY-SA 4.0