0
$\begingroup$

In "The Standard Conjectures" Kleiman says that the following properties of Weil cohomology theory were proved in 1963 for étale cohomology by Artin and Grothendieck, except for the last one that it was proved in 1973 by Deligne.

"... (1) (finiteness), (2) (Poincaré duality), (3) (Künneth formula), (4) (cycle map), (5) (weak Lefschetz theorem), (6) (strong Lefschetz theorem)..."

Which are the articles where I can find the proofs of this properties?

Improve this question
$\endgroup$
1
  • 3
    $\begingroup$ Milne's book on etale cohomology is a good source. He also has a slightly different free version on his web page. If you read French, then there is SGA41/2. $\endgroup$
    – Donu Arapura
    Commented Jul 11, 2014 at 22:38

1 Answer 1

Reset to default
1
$\begingroup$
  • Milne, Étale cohomology (book and online version)
  • Lei Fu, Étale cohomology theory (essentially an English translation of SGA)
  • Freitag-Kiehl, Etale cohomology and the Weil conjecture
Improve this answer
$\endgroup$

You must log in to answer this question.