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- W2964678417 abstract "We study automorphisms of the Hilbert scheme of ???? points on a generic projective ????3 surface ????, for any ???? ≥ 2. We show that Aut(????[????]) is either trivial or generatedby a non-symplectic involution and we determine numerical and divisorial conditionswhich allow us to distinguish between the two cases. As an application of these results we prove that, for any ???? ≥ 2, there exist infinitely many admissible degrees for thepolarization of the ????3 surface ???? such that ????[????] admits a non-natural involution. This provides a generalization of the results of [7] for ???? = 2" @default.
- W2964678417 created "2019-08-13" @default.
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- W2964678417 date "2019-07-26" @default.
- W2964678417 modified "2023-10-03" @default.
- W2964678417 title "Automorphisms of Hilbert schemes of points on a generic projective K3 surface" @default.
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- W2964678417 doi "https://doi.org/10.1002/mana.201800557" @default.
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