Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
LOCAL SPLITTING FAMILIES OF HYPERELLIPTIC PENCILS, I
TATSUYA ARAKAWATADASHI ASHIKAGA
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2001 年 53 巻 3 号 p. 369-394

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We construct local splitting families of hyperelliptic pencils so that the original complicated degenerate fiber decomposes into several simple degenerate fibers. In some sense, our trial is a generalization to hyperelliptic curves of arbitrary genus of Moishezon's construction for families of elliptic curves. Moreover, we study certain invariants of degenerate fiber germs.
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© 2001 by THE TOHOKU UNIVERSITY
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