3 citations · 7 across the 6 of their papers we have counts for
7 papers
A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
Fritz Hörmann
For complex tori with algebraic normalized period matrix, in particular for Abelian varieties of CM-type, the map from the second cohomology group of the analytic sheaf of the seco…
Higher stacks as diagrams
Fritz Hörmann
Several possible presentations for the homotopy theory of (non-hypercomplete) -stacks on a classical site S are discussed. In particular, it is shown that an elegant combin…
Derivator Six-Functor-Formalisms -- Construction II
Fritz Hörmann
Starting from simple and necessary axioms on a (derivator enhanced) four-functor-formalism, we construct derivator six-functor-formalisms using compactifications. This works, for i…
Derivator Six Functor Formalisms -- Definition and Construction I
Fritz Hörmann
A theory of a derivator version of six-functor-formalisms is developed, using an extension of the notion of fibered multiderivator due to the author. Using the language of (op)fibr…
Generalized automorphic sheaves and the proportionality principle of Hirzebruch-Mumford
Fritz Hörmann
We axiomatize the algebraic properties of toroidal compactifications of (mixed) Shimura varieties and their automorphic vector bundles. A notion of generalized automorphic sheaf is…
Six Functor Formalisms and Fibered Multiderivators
Fritz Hörmann
We develop the theory of (op)fibrations of 2-multicategories and use it to define abstract six-functor-formalisms. We also give axioms for Wirthmüller and Grothendieck formalisms (…