Birational Chow-K\'unneth decompositions
| Autor: | Shen, Mingmin |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the notion of a birational Chow-K\"unneth decomposition, which is essentially a decomposition of the integral birational motive of a variety. The existence of a birational Chow-K\"unneth decomposition is stably birationally invariant and this notion refines the Chow theoretical decomposition of the diagonal. We show that a birational Chow-K\"unneth decompostion exists for the following varieties: (a) Jacobian variety; (b) Hilbert scheme of points on a $K3$ surface and (c) The variety of lines on a stably rational cubic threefold or a stably rational cubic fourfold. Comment: 20 pages |
| Databáze: | arXiv |
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