Fujita decomposition and Massey product for fibered varieties

Abstract: Let $f\colon X \to B$ be a semistable fibration where $X$ is a smooth variety of dimension $n ≥ 2$ and $B$ is a smooth curve. We give an interpretation of the second Fujita decomposition of $f_∗\omega_{X/B}$ in terms of local systems of the relative 1-forms and of the relative top forms. We show the existence of higher irrational pencils under natural hypothesis on local subsystems.

algebraic geometrycombinatorics

Audience: researchers in the topic

( slides | video )

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Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html

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