12 citations · 12 across the 4 of their papers we have counts for
5 papers
Tannakian categories: origins and summary
James S Milne
We describe the origins of the theory of tannakian categories, and summarize its main results.
Descent for Algebraic Schemes
James S Milne
This is an elementary exposition of the basic descent theorems for algebraic schemes over fields (Grothendieck, Weil, ...).
Rational Tate classes
J. S. Milne
In despair, as Deligne (2000) put it, of proving the Hodge and Tate conjectures, we can try to find substitutes. For abelian varieties in characteristic zero, Deligne (1982) constr…
Quotients of Tannakian Categories
J. S. Milne
We classify the "quotients" of a tannakian category in which the objects of a tannakian subcategory become trivial, and we examine the properties of such quotient categories.
Descent for Shimura Varieties
J. S. Milne
We verify that the descent maps provided by Langlands's Conjugacy Conjecture do satisfy the continuity condition necessary for them to be effective. Thus Langlands's conjecture doe…