Non-semistable Arakelov bound and hyperelliptic Szpiro ratio for function fields

Nguyen, Khac

doi:10.1090/S0002-9939-99-05426-X

Non-semistable Arakelov bound and hyperelliptic Szpiro ratio for function fields
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Proc. Amer. Math. Soc. 127 (1999), 3125-3130 Request permission

Abstract:

We prove a complex function field analogue of Szpiro’s conjecture for hyperelliptic curves and some applications. The cases of function fields of positive characteristic and number fields are discussed briefly.

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