Derived Manifolds from Functors of Points - Couverture souple

Vogler, Franz

9783832534059: Derived Manifolds from Functors of Points

Couverture souple

ISBN 10 : 3832534059 ISBN 13 : 9783832534059

Editeur : Logos Verlag Berlin GmbH, 2013

Afficher les exemplaires de cette �dition ISBN

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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.