Algebraic cobordism
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theo...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Springer
c2007.
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| Colección: | Springer monographs in mathematics.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460976106719 |
| Sumario: | Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications. |
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| Notas: | Description based upon print version of record. |
| Descripción Física: | 1 online resource (254 p.) |
| Bibliografía: | Includes bibliographical references (p. [237]-238) and index. |
| ISBN: | 9781280800375 9786610800377 9783540368243 |
