Local splitting families of hyperelliptic pencils, I
Arakawa, Tatsuya ; Ashikaga, Tadashi
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 369-394 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2001-05-14
Classification:  14H10 
@article{1178207417,
     author = {Arakawa, Tatsuya and Ashikaga, Tadashi},
     title = {Local splitting families of hyperelliptic pencils, I},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 369-394},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207417}
}

Arakawa, Tatsuya; Ashikaga, Tadashi. Local splitting families of hyperelliptic pencils, I. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  369-394. http://gdmltest.u-ga.fr/item/1178207417/