Degenerations of Gushel–Mukai fourfolds, with a view towards irrationality proofs

Degenerations of Gushel–Mukai fourfolds, with a view towards irrationality proofs

We study a certain class of degenerations of Gushel–Mukai fourfolds as conic bundles, which we call tame degenerations and which are natural if one wants to prove that very general Gushel–Mukai fourfolds are irrational using the degeneration method due to Voisin, Colliot-Thélène–Pirutka, Totaro et a...

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Veröffentlicht in:European journal of mathematics 2018-09, Vol.4 (3), p.802-826
Hauptverfasser: Böhning, Christian, von Bothmer, Hans-Christian Graf
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Degeneration
Irrationality
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung:We study a certain class of degenerations of Gushel–Mukai fourfolds as conic bundles, which we call tame degenerations and which are natural if one wants to prove that very general Gushel–Mukai fourfolds are irrational using the degeneration method due to Voisin, Colliot-Thélène–Pirutka, Totaro et al. However, we prove that no such tame degenerations exist.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-018-0227-z