Some Questions in $l-$adic Cohomology

Jagannathan Arjun Sathyamoorthy

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arXiv · 1803.06454

Some Questions in $l-$adic Cohomology

Jagannathan Arjun Sathyamoorthy

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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 $\mathbb{F}_p$.

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Jagannathan Arjun Sathyamoorthy. 2018-03-17. Some Questions in $l-$adic Cohomology. https://arxiv.org/abs/1803.06454

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