R. Coleman

collaborators

2 papers

math.NT1997

The Frobenius and monodromy operators for curves and abelian varieties

Robert Coleman, Adrian Iovita

In this paper, we give explicit descriptions of Hyodo and Kato's Frobenius and Monodromy operators on the first $p$ -adic de Rham cohomology groups of curves and Abelian varieties w…

alg-geom1996

On the semi-simplicity of the $U_{p}$ -operator on modular forms

Robert F. Coleman, Bas Edixhoven

Let $p$ be a prime number and $N$ an integer prime to $p$ . We show that the operator $U_{p}$ on the space of cuspidal modular forms of level $pN$ and weight two is semi-simple. It fo…

The Frobenius and monodromy operators for curves and abelian varieties

On the semi-simplicity of the Up​-operator on modular forms

On the semi-simplicity of the $U_{p}$ -operator on modular forms