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| HAL: hal-00654982, version 1 |
| arXiv: 1112.5706 |
| Detailed view |  Export this paper |
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| Journal of mathematical sciences, the university of Tokyo 19, 3 (2012) 325-357 |
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| Birational self-maps and piecewise algebraic geometry |
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| Stéphane Lamy 1Julien Sebag 2 |
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| (2012) |
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| Let X be a smooth projective complex variety, of dimension 3, whose Hodge numbers h^{3,0}(X), h^{1,0}(X) both vanish. Let f: X--> X be a birational map that induces an isomorphism on (dense) open subvarieties U,V of X. Then we show that the complex reduced varieties (X \ U), (X \ V) are piecewise isomorphic. |
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| 1: | Institut Mathématiques de Toulouse |
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Institut Mathématiques de Toulouse |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Géométrie algébrique |
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| Subject | : | Mathematics/Algebraic Geometry |
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| birational map – piecewise isomorphism |
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| Attached file list to this document: | ||||||||||
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| hal-00654982, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00654982 | |
| oai:hal.archives-ouvertes.fr:hal-00654982 | |
| From: Stéphane Lamy | |
| Submitted on: Saturday, 24 December 2011 06:34:20 | |
| Updated on: Friday, 19 April 2013 10:45:14 | |
