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Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs (1704.01807v1)
Published 6 Apr 2017 in math.AG
Abstract: 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-Th\'{e}l`{e}ne-Pirutka, Totaro et al. However, we prove that no such tame degenerations do exist.