Delucchi, Emanuele and Pagaria, Roberto (2021) The homotopy type of elliptic arrangements. Algebraic & Geometric Topology, 21 (4). pp. 2037-2063. ISSN 1472-2747
Full text not available from this repository. (Request a copy)Abstract
We give combinatorial models for the homotopy type of complements of elliptic arrangements, ie certain sets of abelian subvarieties in a product of elliptic curves. We give a presentation of the fundamental group of such spaces and, as an application, we treat the case of ordered configuration spaces of elliptic curves. Our models are finite polyhedral CW complexes, and our combinatorial tools of choice are acyclic categories (small categories without loops). As a stepping stone, we give a characterization of which acyclic categories arise as face categories of polyhedral CW complexes.
| Item Type: | Scientific journal article, Newspaper article or Magazine article |
|---|---|
| Subjects: | Mathematical sciences |
| Department/unit: | Dipartimento tecnologie innovative > Istituto Dalle Molle di studi sull’intelligenza artificiale USI-SUPSI |
| Depositing User: | Emanuele Delucchi |
| Date Deposited: | 07 Jun 2022 09:19 |
| Last Modified: | 07 Jun 2022 09:22 |
| URI: | http://repository.supsi.ch/id/eprint/13436 |
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