Strebel differentials on families of hyperelliptic curves

Our paper is devoted to Strebel pairs on families of hyperelliptic curves. We provide a complete proof of the fact that the constructed differentials are Strebel and point out the connections between the introduced constructions and classical objects of complex algebraic geometry.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2009-04, Vol.158 (1), p.87-93
Main Authors: Artamkin, I. V., Levitskaya, Yu. A., Shabat, G. B.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:Our paper is devoted to Strebel pairs on families of hyperelliptic curves. We provide a complete proof of the fact that the constructed differentials are Strebel and point out the connections between the introduced constructions and classical objects of complex algebraic geometry.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-009-9377-3