Coleman calculated the absolute Frobenius on Fermat curves explicitly. In
this paper we show that a kind of $p$-adic continuity implies a large part of
his formula. To do this, we study a relation between functional equations of
the ($p$-adic) gamma function and monomial relations on ($p$-adic) CM-periods.Comment: 17 page

Kashio, Tomokazu

English

arXiv

Coleman calculated the absolute Frobenius on Fermat curves explicitly. In
this paper we show that a kind of $p$-adic continuity implies a large part of
his formula. To do this, we study a relation between functional equations of
the ($p$-adic) gamma function and monomial relations on ($p$-adic) CM-periods.Comment: 18 pages, to appear in Annales de l'Institut Fourie

Note on Coleman's formula for the absolute Frobenius on Fermat curves

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