Some Questions in $l-$adic Cohomology

Jagannathan Arjun Sathyamoorthy

Some Questions in $l-$adic Cohomology

Algebraic Geometry 2018-03-29 v2

Authors: Jagannathan Arjun Sathyamoorthy

Abstract

The comparison theorem for a smooth projective variety $X$ over $\mathbb{C}$ tells us that the Betti numbers are independent of $l$ . We aim to understand the $l$ independence of Betti numbers for smooth projective varieties $X$ over $k$ , where $k$ is an algebraic extension of $\mathbb{F}_p$ .

Keywords

l-adic cohomology betti numbers smooth projective variety comparison theorem algebraic extension

Cite

@article{arxiv.1803.06454,
  title  = {Some Questions in $l-$adic Cohomology},
  author = {Jagannathan Arjun Sathyamoorthy},
  journal= {arXiv preprint arXiv:1803.06454},
  year   = {2018}
}

Comments

arXiv admin note: submission has been withdrawn by arXiv administrators due to inappropriate overlap with external sources

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