Miscellany on traces in ℓ-adic cohomology: a survey
By L. Illusie. 2006
51 citations recorded by the source corpus.
We discuss classical questions concerning traces of elements of Galois groups or correspondences in l-adic cohomology, mostly over finite or local fields, such as rationality and independence of l, integrality, congruences modulo powers of l or p. We report on the progress that has been made on this topic during the past ten years.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ac0180c436364ef86932cf1e0d2b99c8c724c9d4
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Odds and Ends on Finite Group Actions and Traces (2010, background): “By Deligne-Lusztig (loc. cit.)”
- How to use finite fields for problems concerning infinite fields (2009, background): “te: November 16, 2016. I want to thank A.Zykin who wrote a preliminary version of this lecture. 1Indeed, I would not have been able to give them without the help of Luc Illusie and of his two reports [12] and [13]. 1 2 JEAN-PIERRESERRE Since G is finite, we can find a ring Λ ⊂Cfinitely generated over Z”