Derived manifolds from functors of points / / Franz Vogler
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| Autore: |
Vogler Franz <1982->
|
| Titolo: |
Derived manifolds from functors of points / / Franz Vogler
|
| Pubblicazione: | Berlin : , : Logos Verlag, , [2013] |
| ©2013 | |
| Descrizione fisica: | 1 online resource (164 pages) |
| Disciplina: | 516.07 |
| Soggetto topico: | Manifolds (Mathematics) |
| Note generali: | PublicationDate: 20130510 |
| Nota di bibliografia: | Includes bibliographical references. |
| Sommario/riassunto: | Long description: In this thesis a functorial approach to the category of derived manifolds is developed. We use a similar approach as Demazure and Gabriel did when they described the category of schemes as a full subcategory of the category of sheaves on the big Zariski site. Their work is further developed leading to the definition of C#-schemes and derived manifolds as certain sheaves on appropriate big sites. The new description of C#-schemes and derived manifolds via functors is compared to the previous approaches via locally ringed spaces given by D. Joyce and D. Spivak. Furthermore, it is proven that both approaches lead to equivalent categories. |
| Titolo autorizzato: | Derived manifolds from functors of points |
| ISBN: | 3-8325-9164-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910795157303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |