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Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs
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Böhning, Christian and Von Bothmer, Hans-Christian Graf (2018) Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs. European Journal of Mathematics, 4 (3). pp. 802-826. doi:10.1007/s40879-018-0227-z ISSN 2199-675X.
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Official URL: https://doi.org/10.1007/s40879-018-0227-z
Abstract
We study a certain class of degenerations of Gushel-Mukai fourfolds
as conic bundles, which we call tame degenerations and which are natural ifone wants to prove that very general Gushel-Mukai fourfolds are irrational usingthe degeneration method due to Voisin, Colliot-Th´el`ene-Pirutka, Totaro et al.However, we prove that no such tame degenerations do exist.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | European Journal of Mathematics | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 2199-675X | ||||||||
Official Date: | September 2018 | ||||||||
Dates: |
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Volume: | 4 | ||||||||
Number: | 3 | ||||||||
Page Range: | pp. 802-826 | ||||||||
DOI: | 10.1007/s40879-018-0227-z | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 26 February 2018 | ||||||||
Date of first compliant Open Access: | 26 February 2018 |
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