On some families of Gushel–Mukai fourfolds

Staglianò, Giovanni

doi:10.2140/ant.2022.16.1905

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On some families of Gushel–Mukai fourfolds

Giovanni Staglianò

Vol. 16 (2022), No. 8, 1905–1918

DOI: 10.2140/ant.2022.16.1905

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.

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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

Vol. 16, No. 8, 2022