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math.NT2021
A note on formal periods
Fritz Hörmann
We give an elementary description of the space of formal periods of a mixed motive. This allows for a simplified reformulation of the period conjectures of Grothendieck and Kontsev…
math.AT2021
Exactness of Bousfield localizations of simplicial presheaves and local lifting
Fritz Hörmann
We show that weak equivalences in a (cofibrantly generated) left Bousfield localization of the projective model category of simplicial presheaves can be characterized by a local li…
math.AT2021★ 2 cited
Model category structures on simplicial objects
Fritz Hörmann
A general method for lifting weak factorization systems in a category S to model category structures on simplicial objects in S is described, analogously to the lifting of cotorsio…