Hyperelliptic Szpiro Inequality
Bogomolov, Fedor ; Katzarkov, Ludmil ; Pantev, Tony
J. Differential Geom., Tome 60 (2002) no. 1, p. 51-80 / Harvested from Project Euclid
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We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperelliptic curves of genus g, the number N of nonseparating vanishing cycles and the number D of singular fibers satisfy the inequality N ≤ (4g + 2)D.
Publié le : 2002-05-14
Classification:  
@article{1090351320,
     author = {Bogomolov, Fedor and Katzarkov, Ludmil and Pantev, Tony},
     title = {Hyperelliptic Szpiro Inequality},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 51-80},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090351320}
}

Bogomolov, Fedor; Katzarkov, Ludmil; Pantev, Tony. Hyperelliptic Szpiro Inequality. J. Differential Geom., Tome 60 (2002) no. 1, pp.  51-80. http://gdmltest.u-ga.fr/item/1090351320/