137 citations · 281 across the 29 of their papers we have counts for
30 papers
Toward a New Science of Common Sense
Ronald J. Brachman, Hector J. Levesque
Common sense has always been of interest in Artificial Intelligence, but has rarely taken center stage. Despite its mention in one of John McCarthy's earliest papers and years of w…
Classification of the Mumford--Tate Groups of Rational Polarizable Hodge Structures
James S. Milne
Let G be the pro-algebraic group attached to the tannakian category of polarizable rational Hodge structures. We show that the quotient of G by its derived group is the Serre group…
Algebraic groups as automorphism groups of algebras
James S Milne
We show that every algebraic group scheme over a field with at least 8 elements can be realized as the group of automorphisms of a nonassociative algebra. This is only a modest imp…
Grothendieck's standard conjecture of Lefschetz type over finite fields
James S. Milne
Grothendieck's standard conjecture of Lefschetz type has two main forms: the weak form and the strong form . The weak form is known for varieties over finite fields as a con…
Hodge classes on abelian varieties
James S. Milne
We prove, following Deligne and André, that the Hodge classes on abelian varieties of CM-type can be expressed in terms of divisor classes and split Weil classes, and we describe s…
On the Tate and Standard Conjectures over Finite Fields
James S Milne
For an abelian variety over a finite field, Clozel (1999) showed that l-homological equivalence coincides with numerical equivalence for infinitely many l, and the author (1999) ga…