Strict Arakelov‐type inequalities for a family of curves

Wan‐Yuan Xu

Mathematische Nachrichten, 2024, vol. 297, issue 3, 1136-1141

Abstract: In this note, we prove some strict Arakelov‐type inequalities which bound the degree of the pushfoward of the relative pluricanonical sheaf for a family of curves. We give an analogous result in positive characteristic.

Date: 2024
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https://doi.org/10.1002/mana.202300204

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