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pencils of hypersurfaces

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SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS
Part of
SHAMIL ASGARLI, DRAGOS GHIOCA
Journal:

Bulletin of the Australian Mathematical Society / Volume 107 / Issue 1 / February 2023

Published online by Cambridge University Press:

25 August 2022, pp. 85-94

Print publication:

February 2023
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We study pencils of hypersurfaces over finite fields $\mathbb {F}_q$ such that each of the $q+1$ members defined over $\mathbb {F}_q$ is smooth.

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