Fortnightly links (69)

Because of my holiday the schedule has been shifted by a week, and the post is 2 days late.

• The spectrum of the integers is not quasi-compact is the title of a newly added example in the Stacks project. It sounds of course ridiculous to claim that $\mathop{\mathrm{Spec}}\mathbb{Z}$ is not quasicompact. But this is for the canonical topology on the category of schemes, which is of course much finer than the Zariski topology!

• Srikanth Iyengar, Ryo Takahashi, Openness of the regular locus and generators for module categories is a nice and short paper which relates the regularity properties of (quotients of) a noetherian ring $R$ to the existence of (classical) generators in the bounded derived category (resp. singularity category) of $R$. This can be compared to Neeman's results on the existence of strong generators, as is also done in remark 2.12 of their paper.

• Janko Boehm, Wolfram Decker, Anne Frühbis-Krüger, Franz-Josef Pfreundt, Mirko Rahn, Lukas Ristau, Towards massively parallel computations in algebraic geometry discusses one of the first steps in parallelizing computations in algebraic geometry. This is a really exciting evolution. If the authors read this, they could take up Borisov and Keum's Explicit equations of a fake projective plane as another example of a surface of general type with explicit but very complicated equations.