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For questions requesting examples of a certain structure or phenomenon

3 votes

smooth affine surfaces over algebraically closed fields with trivial l-torsion of the Brauer...

I think the following should work, but I have not checked all the details. Let $k$ be an algebraically closed field and let $\ell$ be coprime to the characteristic of $k$. Then the Grothendieck purit …
Daniel Loughran's user avatar
13 votes

What is the smallest and "best" 27 lines configuration? And what is its symmetry group?

It is the Fermat cubic surface over $\mathbb{F}_4$ or (if you prefer $\mathbb{F}_p$) over $\mathbb{F}_7$. There are quite a few papers on this topic. Firstly in [1] Swinnerton-Dyer showed (amongst oth …
Daniel Loughran's user avatar