On the Coniveau of Rationally Connected 3-folds
Duration: 1 hour 2 mins
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Description: |
Voisin, C
Tuesday 18th May 2021 - 14:00 to 15:00 |
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Created: | 2021-05-20 10:46 |
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Collection: | Swinnerton-Dyer Memorial |
Publisher: | Isaac Newton Institute for Mathematical Sciences |
Copyright: | Voisin, C |
Language: | eng (English) |
Abstract: | It is known that the integral cohomology of positive degree of a rationally connected projective complex manifold has coniveau at least 1, that is, is supported on a proper subvariety. However it is unknown whether is comes from the cohomology of a smooth projective variety of smaller dimension by a Gysin morphism (that is, whether it is of strong coniveau at least 1, following the terminology of Benoist and Ottem). This last property is a necessary condition for stable rationality. We prove that it is satisfied by rationally connected threefolds. |
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