• Tags
  • #arithmetic-geometry
• Refs:
  • https://people.maths.ox.ac.uk/brantner/p-adic.pdf #resources/notes
  • Milne’s course notes #resources/course-notes
  • https://www.youtube.com/embed/P8SqRrnOs20
  • Course notes: https://www.dropbox.com/s/nn6p6wp94tlcj77/Etale.pdf?dl=0 #resources/course-notes
  • http://math.colorado.edu/~jonathan.wise/teaching/math8174-spring-2014/notes.pdf#page=56 #resources/course-notes
• Links:
  • Weil Conjectures
  • Kummer sequence
  • direct image
  • etale cohomology
  • constructible sheaf
  • Tsen’s theorem
  • Leray spectral sequence
  • Zariski’s main theorem
  • Tate twist
  • Weil cohomology
  • subcanonical

Tate twist

l-adic cohomology

Poincare duality:

See also weak and hard Lefschetz theorems

Properties

Etale cohomology

See examples of computations of etale cohomology

Poincare duality

Exact sequences

A spectral sequence converging to algebraic K theory.

Excision

amitsur complex

Comparison