Coleman integration versus Schneider integration on semistable curves.
On the p-adic periods of X...(p).
On monomial relations between p-adic periods.
Eichler cohomology and periods of modular forms on p-adic Schottky groups.
p-adic periods and modular symbols of elliptic curves of prime conductor.
On certain Galois representations related to the modular curve
Metabelian local class field theory.
p-Adic regulators on curves and special values of p-adic L-functions.
On special values of theta functions of genus two
We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these specials values are related to the arithmetic of the Siegel moduli space.
Tamely ramified Hida theory
Let be the Jacobian of the modular curve associated with and the one associated with . We study as a Hecke and Galois-module. We relate a certain matrix of -adic periods to the infinitesimal deformation of the -operator.
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