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NONHYPERELLIPTIC FIBRATIONS OF GENUS 4 WITH NONSURJECTIVE MULTIPLICATION MAP

Published online by Cambridge University Press:  15 June 2020

TOMOKUNI TAKAHASHI*
Affiliation:
National Institute of Technology, Ichinoseki College, Ichinoseki021-8511, Japan, e-mail: [email protected]

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.

Type
Research Article
Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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References

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