The Tate conjecture over finite fields (AIM talk)
arXiv:0709.3040
Abstract
These are my notes for a talk at the The Tate Conjecture workshop at the American Institute of Mathematics in Palo Alto, CA, July 23--July 27, 2007, somewhat revised and expanded. The intent of the talk was to review what is known and to suggest directions for research. v2: Revised expanded (24 pages).
A pdf file with better fonts, style file, etc. is available at http://www.jmilne.org/math/ v2: Revised expanded (24 pages)
References in corpus (5)
- The Tate Conjecture for Certain Abelian Varieties over Finite Fields
- Quotients of Tannakian Categories
- Equivalence numérique et équivalence cohomologique pour les variétés abéliennes sur les corps finis
- CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields
- Motivic complexes over finite fields and the ring of correspondences at the generic point
Cited by in corpus (10)
- The large sieve, monodromy and zeta functions of algebraic curves, II: independence of the zeros
- Remarks on curve classes on rationally connected varieties
- Effective obstruction to lifting Tate classes from positive characteristic
- The full faithfulness conjectures in characteristic p
- Curves and cycles on K3 surfaces
- A generalization of the Artin-Tate formula for fourfolds
- A note on Tate's conjectures for abelian varieties
- Addendum to: Milne, Values of zeta functions of varieties over finite fields, Amer. J. Math. 108, (1986), 297-360
- Cycle maps on cohomology theories for dg-categories and their applications
- Torsion algebraic cycles and etale cobordism