Jagannathan Arjun Sathyamoorthy
Published 2018-03-17Version 1
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 $\mathbb{F}_p$.
Slopes and weights of $\ell$-adic cohomology of rigid spaces
A sharper estimate on the Betti numbers of sets defined by quadratic inequalities
Uniform approximation of Betti numbers
![QR code for arXiv:1803.06454 [math.AG]](http://oss.arxitics.com/images/favicon.svg)