The Exceptional Locus in the Bertini Irreducibility Theorem for a Morphism

<jats:title>Abstract</jats:title> <jats:p>We introduce a novel approach to Bertini irreducibility theorems over an arbitrary field, based on random hyperplane slicing over a finite field. Extending a result of Benoist, we prove that for a morphism $\phi \colon X \to{...

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Bibliographic Details
Main Authors: Poonen, Bjorn, Slavov, Kaloyan
Format: Article
Language:English
Published: Oxford University Press (OUP) 2021
Online Access:https://hdl.handle.net/1721.1/135257