2 citations · 3 across the 6 of their papers we have counts for
9 papers
Lectures on bar and cobar
Fritz Hörmann
We discuss Lurie's (derived) bar and cobar constructions, the classical ones for simplicial groups and sets (due to Eilenberg-MacLane and Kan), and the classical ones for different…
Six-Functor-Formalisms on Higher Stacks
Fritz Hörmann
In this article, it is shown that derivator six-functor-formalisms on any (classical) site canonically extend to higher geometric stacks as defined by Toën-Vezzosi under some natur…
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…
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…
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…
Enlargement of (fibered) derivators
Fritz Hörmann
We show that the theory of derivators (or, more generally, of fibered multiderivators) on all small categories is equivalent to this theory on partially ordered sets, in the follow…
Descent for coherent sheaves along formal/open coverings
Fritz Hörmann
For a regular noetherian scheme with a divisor with strict normal crossings we prove that coherent sheaves satisfy descent w.r.t. the 'covering' consisting of the open part…
The geometric and arithmetic volume of Shimura varieties of orthogonal type
Fritz Hörmann
We apply the theory of Borcherds products to calculate arithmetic volumes (heights) of Shimura varieties of orthogonal type up to contributions from very bad primes. The approach i…
On recursive properties of certain p-adic Whittaker functions
Fritz Hörmann
We investigate recursive properties of certain p-adic Whittaker functions (of which representation densities of quadratic forms are special values). The proven relations can be use…