Derived Manifolds from Functors of Points

Derived Manifolds from Functors of Points

Softcover

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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.
Main Genre
Specialized Books
Sub Genre
Mathematics & Natural Sciences
Format
Softcover
Pages
158
Price
36.00 €