2022-09-28

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2022-09-28

To look up:

  • plurigenera
  • irregularity. Irregular are easier, but lose the Albanese and you know less about the geometry.4
  • Kodaira dimension. 1 and 2 are easy, 0 and \(-\infty\) are more difficult (for surfaces).
  • Semiabelian varieties
  • Quasiprojective varieties
  • Universal property of the Albanese variety.
  • Elliptic K3 surfaces, \(X\to {\mathbf{P}}^1\) fibers of type \(IV^*, F_1, F_2, F_3\).
  • dominant morphisms
  • finite morphism
  • Log-ramification formula.

Misc

Complete curves and smooth complete surfaces are always projective:

attachments/Pasted%20image%2020220928221007.png

A Picard group with torsion:

attachments/Pasted%20image%2020220928231601.png

Links to this page
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