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NONHYPERELLIPTIC FIBRATIONS OF GENUS 4 WITH NONSURJECTIVE MULTIPLICATION MAP
Published online by Cambridge University Press: 15 June 2020
Abstract
We prove some numerical inequality for the Horikawa indices for Eisenbud–Harris special nonhyperelliptic fibrations of genus 4 on algebraic surfaces under the assumption that the multiplication map of the fibration is not surjective. Furthermore, we prove that the inequality is best possible by constructing the examples satisfying the equality.
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- © The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
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