Artin–Verdier duality

In mathematics, Artin–Verdier duality is a duality theorem for constructible abelian sheaves over the spectrum of a ring of algebraic numbers, introduced by Artin and Verdier (1964), that generalizes Tate duality.

References

• Artin, Michael; Verdier, Jean-Louis (1964), "Seminar on étale cohomology of number fields", Lecture notes prepared in connection with the seminars held at the summer institute on algebraic geometry. Whitney estate, Woods hole, Massachusetts. July 6 – July 31 1964, Providence, R.I.: American Mathematical Society, http://www.jmilne.org/math/Documents/woodshole3.pdf 
• Mazur, Barry (1973), "Notes on étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 6: 521–552, ISSN 0012-9593, MR0344254, http://www.numdam.org/item?id=ASENS_1973_4_6_4_521_0