Homotopy Theory of Schemes Paperback / softback
by Fabien Morel
Part of the SMF/AMS Texts & Monographs series
Paperback / softback
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:104 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2006
- Category:
- ISBN:9780821831649
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:104 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2006
- Category:
- ISBN:9780821831649
