On some families of Gushel–Mukai fourfolds

Giovanni Staglianò

doi:10.2140/ant.2022.16.1905

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2022 On some families of Gushel–Mukai fourfolds

Giovanni Staglianò

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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Giovanni Staglianò. "On some families of Gushel–Mukai fourfolds." Algebra Number Theory 16 (8) 1905 - 1918, 2022. https://doi.org/10.2140/ant.2022.16.1905

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Received: 4 August 2020; Revised: 27 July 2021; Accepted: 6 September 2021; Published: 2022

First available in Project Euclid: 18 January 2023

Digital Object Identifier: 10.2140/ant.2022.16.1905

Subjects:

Primary: 14J35 , 14J45

Secondary: 14Q10 , 68W30

Keywords: Gushel–Mukai fourfold , Kodaira Dimension , uniruledness

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