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NONHYPERELLIPTIC FIBRATIONS OF GENUS 4 WITH NONSURJECTIVE MULTIPLICATION MAP

Part of: Surfaces and higher-dimensional varieties Families, fibrations

Published online by Cambridge University Press:  15 June 2020

TOMOKUNI TAKAHASHI
TOMOKUNI TAKAHASHI*
Affiliation:
National Institute of Technology, Ichinoseki College, Ichinoseki021-8511, Japan, e-mail: tomokuni@ichinoseki.ac.jp
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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.

MSC classification

Primary: 14D06: Fibrations, degenerations 14J29: Surfaces of general type
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 63 , Issue 2 , May 2021 , pp. 363 - 377
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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