NONHYPERELLIPTIC FIBRATIONS OF GENUS 4 WITH NONSURJECTIVE MULTIPLICATION MAP
Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 363-377

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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.
TAKAHASHI, TOMOKUNI. NONHYPERELLIPTIC FIBRATIONS OF GENUS 4 WITH NONSURJECTIVE MULTIPLICATION MAP. Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 363-377. doi: 10.1017/S0017089520000245
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     title = {NONHYPERELLIPTIC {FIBRATIONS} {OF} {GENUS} 4 {WITH} {NONSURJECTIVE} {MULTIPLICATION} {MAP}},
     journal = {Glasgow mathematical journal},
     pages = {363--377},
     year = {2021},
     volume = {63},
     number = {2},
     doi = {10.1017/S0017089520000245},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000245/}
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