• Tags:
• Refs:

# 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:

A Picard group with torsion: