Roland Olbricht's research while affiliated with Universität Heidelberg and other places
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Publications (3)
Using OpenStreetMap data usually means, firstly, filtering for thematic extracts. This can be done with the OpenStreetMap mirror database Overpass API (application programming interface). To do this efficiently, the database takes advantage of the assumption that data is often selected from a relatively small spatial region instead of randomly acro...
We study minimal degenerations between preprojective modules over wild quivers. Asymptotic properties of such degenerations are studied, with respect to codimension and numbers of indecomposable direct summands. We provide families of minimal disjoint degenerations of arbitrary codimension for almost all wild quivers and show that no such examples...
Citations
... Single buildings are enriched with address information from OpenStreetMap. For this purpose, the Overpass API tool is used to extract addresses from a spatially bounded area, i.e., the extent within the current grid cell [18]. In addition to spatial bounding, the Overpass Query Language (Overpass QL) also allows thematic selection based on OpenStreetMap's data model and tagging guidelines [18]. ...
... In [17] there are examples of wild quivers such that for any natural number n ≥ 2 there are preprojective indecomposables U and V and minimal deformations M i satisfying Codim(U ⊕ V, M i ) = i for all i between 2 and n. Thus the degenerations of modules over wild quivers behave as they should: wild! ...
