Homotopy Theory of Schemes |
|
| Author:
| Morel, Fabien |
| Series title: | SMF/AMS Texts and Monographs |
| ISBN: | 978-0-8218-3164-9 |
| Publication Date: | Oct 2006 |
| Publisher: | American Mathematical Society
|
| Book Format: | Paperback |
| List Price: | USD $45.00USD $45.00 |
Book Description:
|
Presents a framework for applying the standard methods from homotopy theory to the category of smooth schemes over a base scheme $k$. This text 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.
Presents a framework for applying the standard methods from homotopy theory to the category of smooth schemes over a base scheme $k$. This text 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.