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On some families of Gushel–Mukai fourfolds

Giovanni Staglianò

Vol. 16 (2022), No. 8, 1905–1918
Abstract

We give explicit descriptions of some Noether–Lefschetz divisors in the moduli space of Gushel–Mukai fourfolds. As a consequence we obtain that their Kodaira dimension is negative.

Keywords
Gushel–Mukai fourfold, uniruledness, Kodaira dimension
Mathematical Subject Classification
Primary: 14J35, 14J45
Secondary: 14Q10, 68W30
Milestones
Received: 4 August 2020
Revised: 27 July 2021
Accepted: 6 September 2021
Published: 29 November 2022
Authors
Giovanni Staglianò
Dipartimento di Matematica e Informatica
Università degli Studi di Catania
Catania
Italy