5 citations · 11 across the 6 of their papers we have counts for
8 papers
Atlases for Ineffective Orbifolds
Dorette Pronk, Laura Scull, Matteo Tommasini
We give a definition of atlases for ineffective orbifolds, and prove that this definition leads to the same notion of orbifold as that defined via topological groupoids.
Weak fiber products in a bicategory of fractions
Matteo Tommasini
We fix any pair consisting of a bicategory and a class of morphisms in it, admitting a bicalculus of fractions, i.e. a "localization" of $\mathb…
Some insights on bicategories of fractions - III
Matteo Tommasini
We fix any bicategory together with a class of morphisms , such that there is a bicategory of fractions $\mathscr{A}[\mathbf{W}_{\mathscr{A}…
Some insights on bicategories of fractions - II
Matteo Tommasini
We fix any bicategory together with a class of morphisms , such that there is a bicategory of fractions $\mathscr{A}[\mathbf{W}_{\mathscr{A}…
Some insights on bicategories of fractions: representations and compositions of 2-morphisms
Matteo Tommasini
In this paper we investigate the construction of bicategories of fractions originally described by D. Pronk: given any bicategory together with a suitable class of mo…
A bicategory of reduced orbifolds from the point of view of differential geometry - I
Matteo Tommasini
We describe a bicategory of reduced orbifolds in the framework of classical differential geometry (i.e. without any explicit reference to notions o…
Universal families of extensions of coherent systems
Matteo Tommasini
We prove a result of cohomology and base change for families of coherent systems over a curve. We use that in order to prove the existence of (non-split, non-degenerate) universal…
Orbifolds and groupoids
Matteo Tommasini
We define a 2-category structure (Pre-Orb) on the category of reduced complex orbifold atlases. We construct a 2-functor F from (Pre-Orb) to the 2-category (Grp) of proper étale ef…