Bachmann, Tom (2017): On the Invertibility of Motives of Affine Quadrics. In: Documenta Mathematica, Vol. 22: pp. 363-395 |
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Abstract
We show that the reduced motive of a smooth affine quadric is invertible as an object of the triangulated category of motives DM(k,Z[1/e]) (where k is a perfect field of exponential characteristic e). We also establish a motivic version of the conjectures of Po Hu on products of certain affine Pfister quadrics. Both of these results are obtained by studying a novel conservative functor on (a subcategory of) DM (k Z[1/e]), the construction of which constitutes the main part of this work.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1431-0643 |
Language: | English |
ID Code: | 55640 |
Deposited On: | 14. Jun 2018 09:59 |
Last Modified: | 14. Jun 2018 09:59 |
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