Homotopy Theory of Schemes

Fabien Morel

American Mathematical Society, 2006

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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.

ISBN-13
9780821831649
ISBN-10
082183164X
Publisher
American Mathematical Society
Year
2006
Publication date
2006-10-30
Pages
104
Dimensions
255x180x6
Weight
212