On the Semisimplicty of the Action of the Frobenius on Etale Cohomology
Marcelo Gomez Morteo
TL;DR
This paper provides a proof that the geometric Frobenius acts semisimply on étale cohomology, utilizing the Weil Conjectures as a foundational basis.
Contribution
It offers a new proof of semisimplicity of Frobenius action on étale cohomology based on the Weil Conjectures, enhancing understanding of algebraic geometry.
Findings
Proof of semisimplicity of Frobenius action
Utilizes Weil Conjectures as a key tool
Strengthens theoretical foundation of étale cohomology
Abstract
I give a proof of the semisimplicity of the action of the geometric frobenius on etale cohomology. This proof is based on the Weil Conjectures.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation