• Tags
  • #arithmetic-geometry #AG/complex
• Refs:
  • https://www.kurims.kyoto-u.ac.jp/~gokun/DOCUMENTS/hokudai.pdf #resources/notes
  • https://people.math.harvard.edu/~mpopa/571/chapter1.pdf #resources/notes
• Links:
  • Hodge theory MOC
  • Exercises in complex AG
  • families
  • Kodaira vanishing
  • pure Hodge structure

Hodge decomposition

Hodge numbers are constant in families:

Hodge numbers are not birational invariants:

Examples

For kahler manifolds: