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The condensed homotopy type of a scheme
Peter J. Haine, Tim Holzschuh, Marcin Lara +3
We study a condensed version of the étale homotopy type of a scheme, which refines both the usual étale homotopy type of Friedlander-Artin-Mazur and the proétale fundamental group…
Logarithmic geometry beyond fs
Piotr Achinger, Katharina Hübner, Marcin Lara +1
We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The k…
Fundamental groups of proper varieties are finitely presented
Marcin Lara, Vasudevan Srinivas, Jakob Stix
It was recently proven by Esnault, Shusterman and the second named author, that the étale fundamental group of a connected smooth projective variety over an algebraically closed fi…