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Derived Manifolds from Functors of Points

Produktform: Buch / Einband - flex.(Paperback)

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. weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-8325-3405-9 / 978-3832534059 / 9783832534059

Verlag: Logos Berlin

Erscheinungsdatum: 10.05.2013

Seiten: 158

Autor(en): Franz Vogler

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