Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs
arXiv:1704.01807 · doi: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 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 do exist.
25 pages