The Szpiro inequality for higher genus fibrations

Details The Szpiro inequality for higher genus fibrations The Szpiro inequality for higher genus fibrations

2001-09-13

arxiv.org/abs/math/0109080v1

Mathematics

Algebraic Geometry

2 pages, Plain TeX

Scientific paper

Let f : S --> B be a non-trivial family of semi-stable curves of genus g, N
the number of critical points of f and s the number of singular fibres. We
prove the inequality N < (4g+2)(s+2g(B)-2) .

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