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Homotopy Theory of Schemes: (SMF/AMS Texts & Monographs)
By
Fabien Morel (Author)
Paperback
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Description
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.
More Details
- Contributor: Fabien Morel
- Imprint: American Mathematical Society
- ISBN13: 9780821831649
- Number of Pages: 104
- Packaged Weight: 210
- Format: Paperback
- Publisher: American Mathematical Society
- Release Date: 2006-10-30
- Series: SMF/AMS Texts & Monographs
- Binding: Paperback / softback
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