Homotopy Theory of Schemes - Couverture souple

Morel, Fabien

Couverture souple

ISBN 10 : 082183164X ISBN 13 : 9780821831649

Editeur : American Mathematical Society, 2006

Synopsis

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable base scheme $k$. He defines the homotopy category $h(\mathcal{E} k)$ of smooth $k$-schemes and shows that it plays the same role for smooth $k$-schemes as the classical homotopy category plays for differentiable varieties. It is shown that certain expected properties are satisfied, for example, concerning the algebraic $K$-theory of those schemes. In this way, advanced methods of algebraic topology become available in modern algebraic geometry.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 082183164X
• ISBN 13: 9780821831649
• Reliure: Broché
• Nombre de pages: 104
• Coordonnées du fabricant: non disponible
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